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Simplifying 3(x + 2) + -3 = 9 + 5(x + -5) Reorder the terms: 3(2 + x) + -3 = 9 + 5(x + -5) (2 * 3 + x * 3) + -3 = 9 + 5(x + -5) (6 + 3x) + -3 = 9 + 5(x + -5) Reorder the terms: 6 + -3 + 3x = 9 + 5(x + -5) Combine like terms: 6 + -3 = 3 3 + 3x = 9 + 5(x + -5) Reorder the terms: 3 + 3x = 9 + 5(-5 + x) 3 + 3x = 9 + (-5 * 5 + x * 5) 3 + 3x = 9 + (-25 + 5x) Combine like terms: 9 + -25 = -16 3 + 3x = -16 + 5x Solving 3 + 3x = -16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 3x + -5x = -16 + 5x + -5x Combine like terms: 3x + -5x = -2x 3 + -2x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -2x = -16 + 0 3 + -2x = -16 Add '-3' to each side of the equation. 3 + -3 + -2x = -16 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = -16 + -3 -2x = -16 + -3 Combine like terms: -16 + -3 = -19 -2x = -19 Divide each side by '-2'. x = 9.5 Simplifying x = 9.5
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