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Simplifying 9(x + 1) + -6x = 5(x + 3) Reorder the terms: 9(1 + x) + -6x = 5(x + 3) (1 * 9 + x * 9) + -6x = 5(x + 3) (9 + 9x) + -6x = 5(x + 3) Combine like terms: 9x + -6x = 3x 9 + 3x = 5(x + 3) Reorder the terms: 9 + 3x = 5(3 + x) 9 + 3x = (3 * 5 + x * 5) 9 + 3x = (15 + 5x) Solving 9 + 3x = 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. 9 + 3x + -5x = 15 + 5x + -5x Combine like terms: 3x + -5x = -2x 9 + -2x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + -2x = 15 + 0 9 + -2x = 15 Add '-9' to each side of the equation. 9 + -9 + -2x = 15 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 15 + -9 -2x = 15 + -9 Combine like terms: 15 + -9 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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