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Simplifying 5(x + 3) = 9(x + -1) Reorder the terms: 5(3 + x) = 9(x + -1) (3 * 5 + x * 5) = 9(x + -1) (15 + 5x) = 9(x + -1) Reorder the terms: 15 + 5x = 9(-1 + x) 15 + 5x = (-1 * 9 + x * 9) 15 + 5x = (-9 + 9x) Solving 15 + 5x = -9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 15 + 5x + -9x = -9 + 9x + -9x Combine like terms: 5x + -9x = -4x 15 + -4x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + -4x = -9 + 0 15 + -4x = -9 Add '-15' to each side of the equation. 15 + -15 + -4x = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = -9 + -15 -4x = -9 + -15 Combine like terms: -9 + -15 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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