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Simplifying -5(x + -5) = 2(x + -8) + -15 Reorder the terms: -5(-5 + x) = 2(x + -8) + -15 (-5 * -5 + x * -5) = 2(x + -8) + -15 (25 + -5x) = 2(x + -8) + -15 Reorder the terms: 25 + -5x = 2(-8 + x) + -15 25 + -5x = (-8 * 2 + x * 2) + -15 25 + -5x = (-16 + 2x) + -15 Reorder the terms: 25 + -5x = -16 + -15 + 2x Combine like terms: -16 + -15 = -31 25 + -5x = -31 + 2x Solving 25 + -5x = -31 + 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. 25 + -5x + -2x = -31 + 2x + -2x Combine like terms: -5x + -2x = -7x 25 + -7x = -31 + 2x + -2x Combine like terms: 2x + -2x = 0 25 + -7x = -31 + 0 25 + -7x = -31 Add '-25' to each side of the equation. 25 + -25 + -7x = -31 + -25 Combine like terms: 25 + -25 = 0 0 + -7x = -31 + -25 -7x = -31 + -25 Combine like terms: -31 + -25 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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