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Simplifying 4(-2x + 5) + -17 = -5(2x + 3) + -2 Reorder the terms: 4(5 + -2x) + -17 = -5(2x + 3) + -2 (5 * 4 + -2x * 4) + -17 = -5(2x + 3) + -2 (20 + -8x) + -17 = -5(2x + 3) + -2 Reorder the terms: 20 + -17 + -8x = -5(2x + 3) + -2 Combine like terms: 20 + -17 = 3 3 + -8x = -5(2x + 3) + -2 Reorder the terms: 3 + -8x = -5(3 + 2x) + -2 3 + -8x = (3 * -5 + 2x * -5) + -2 3 + -8x = (-15 + -10x) + -2 Reorder the terms: 3 + -8x = -15 + -2 + -10x Combine like terms: -15 + -2 = -17 3 + -8x = -17 + -10x Solving 3 + -8x = -17 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 3 + -8x + 10x = -17 + -10x + 10x Combine like terms: -8x + 10x = 2x 3 + 2x = -17 + -10x + 10x Combine like terms: -10x + 10x = 0 3 + 2x = -17 + 0 3 + 2x = -17 Add '-3' to each side of the equation. 3 + -3 + 2x = -17 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = -17 + -3 2x = -17 + -3 Combine like terms: -17 + -3 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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