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Simplifying -3(x + -8) = 5(2x + -3) Reorder the terms: -3(-8 + x) = 5(2x + -3) (-8 * -3 + x * -3) = 5(2x + -3) (24 + -3x) = 5(2x + -3) Reorder the terms: 24 + -3x = 5(-3 + 2x) 24 + -3x = (-3 * 5 + 2x * 5) 24 + -3x = (-15 + 10x) Solving 24 + -3x = -15 + 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. 24 + -3x + -10x = -15 + 10x + -10x Combine like terms: -3x + -10x = -13x 24 + -13x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -13x = -15 + 0 24 + -13x = -15 Add '-24' to each side of the equation. 24 + -24 + -13x = -15 + -24 Combine like terms: 24 + -24 = 0 0 + -13x = -15 + -24 -13x = -15 + -24 Combine like terms: -15 + -24 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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