Step 1: Distribute the 3 across the first bracket. 3(2x − 5) = 3 × 2x + 3 × (−5) = 6x − 15. Step 2: Distribute the −2 across the second bracket. −2(4 − 3x) = (−2)(4) + (−2)(−3x) = −8 + 6x. Note: negative × negative = positive, so −2 × −3x = +6x. Step 3: Rewrite the full expression with the brackets removed. 6x − 15 − 8 + 6x + x. Step 4: Collect like terms. x-terms: 6x + 6x + x = 13x. Constants: −15 − 8 = −23. Step 5: Write the simplified expression. 13x − 23. Check with x = 1: original = 3(2 − 5) − 2(4 − 3) + 1 = 3(−3) − 2(1) + 1 = −9 − 2 + 1 = −10. Simplified at x = 1: 13(1) − 23 = −10 ✓. Final answer: 13x − 23. Answer: 13x − 23