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Simplifying 5(x + 3) = 8(x + -3) Reorder the terms: 5(3 + x) = 8(x + -3) (3 * 5 + x * 5) = 8(x + -3) (15 + 5x) = 8(x + -3) Reorder the terms: 15 + 5x = 8(-3 + x) 15 + 5x = (-3 * 8 + x * 8) 15 + 5x = (-24 + 8x) Solving 15 + 5x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 5x + -8x = -24 + 8x + -8x Combine like terms: 5x + -8x = -3x 15 + -3x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -3x = -24 + 0 15 + -3x = -24 Add '-15' to each side of the equation. 15 + -15 + -3x = -24 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = -24 + -15 -3x = -24 + -15 Combine like terms: -24 + -15 = -39 -3x = -39 Divide each side by '-3'. x = 13 Simplifying x = 13
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