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Simplifying 5(2x + 3) = 9 + -1(x + 5) Reorder the terms: 5(3 + 2x) = 9 + -1(x + 5) (3 * 5 + 2x * 5) = 9 + -1(x + 5) (15 + 10x) = 9 + -1(x + 5) Reorder the terms: 15 + 10x = 9 + -1(5 + x) 15 + 10x = 9 + (5 * -1 + x * -1) 15 + 10x = 9 + (-5 + -1x) Combine like terms: 9 + -5 = 4 15 + 10x = 4 + -1x Solving 15 + 10x = 4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 15 + 10x + x = 4 + -1x + x Combine like terms: 10x + x = 11x 15 + 11x = 4 + -1x + x Combine like terms: -1x + x = 0 15 + 11x = 4 + 0 15 + 11x = 4 Add '-15' to each side of the equation. 15 + -15 + 11x = 4 + -15 Combine like terms: 15 + -15 = 0 0 + 11x = 4 + -15 11x = 4 + -15 Combine like terms: 4 + -15 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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