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Simplifying -5(x + -3) = 2(x + -5) + -17 Reorder the terms: -5(-3 + x) = 2(x + -5) + -17 (-3 * -5 + x * -5) = 2(x + -5) + -17 (15 + -5x) = 2(x + -5) + -17 Reorder the terms: 15 + -5x = 2(-5 + x) + -17 15 + -5x = (-5 * 2 + x * 2) + -17 15 + -5x = (-10 + 2x) + -17 Reorder the terms: 15 + -5x = -10 + -17 + 2x Combine like terms: -10 + -17 = -27 15 + -5x = -27 + 2x Solving 15 + -5x = -27 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + -5x + -2x = -27 + 2x + -2x Combine like terms: -5x + -2x = -7x 15 + -7x = -27 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -7x = -27 + 0 15 + -7x = -27 Add '-15' to each side of the equation. 15 + -15 + -7x = -27 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = -27 + -15 -7x = -27 + -15 Combine like terms: -27 + -15 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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