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Simplifying -5(x + -3) = 2(4 + x) Reorder the terms: -5(-3 + x) = 2(4 + x) (-3 * -5 + x * -5) = 2(4 + x) (15 + -5x) = 2(4 + x) 15 + -5x = (4 * 2 + x * 2) 15 + -5x = (8 + 2x) Solving 15 + -5x = 8 + 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 = 8 + 2x + -2x Combine like terms: -5x + -2x = -7x 15 + -7x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -7x = 8 + 0 15 + -7x = 8 Add '-15' to each side of the equation. 15 + -15 + -7x = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = 8 + -15 -7x = 8 + -15 Combine like terms: 8 + -15 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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