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Simplifying 9x + -5(x + -2) = 5(x + 3) Reorder the terms: 9x + -5(-2 + x) = 5(x + 3) 9x + (-2 * -5 + x * -5) = 5(x + 3) 9x + (10 + -5x) = 5(x + 3) Reorder the terms: 10 + 9x + -5x = 5(x + 3) Combine like terms: 9x + -5x = 4x 10 + 4x = 5(x + 3) Reorder the terms: 10 + 4x = 5(3 + x) 10 + 4x = (3 * 5 + x * 5) 10 + 4x = (15 + 5x) Solving 10 + 4x = 15 + 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. 10 + 4x + -5x = 15 + 5x + -5x Combine like terms: 4x + -5x = -1x 10 + -1x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -1x = 15 + 0 10 + -1x = 15 Add '-10' to each side of the equation. 10 + -10 + -1x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 15 + -10 -1x = 15 + -10 Combine like terms: 15 + -10 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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