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Simplifying 9(x + 1) + -3x = 2(x + 3) + -9 Reorder the terms: 9(1 + x) + -3x = 2(x + 3) + -9 (1 * 9 + x * 9) + -3x = 2(x + 3) + -9 (9 + 9x) + -3x = 2(x + 3) + -9 Combine like terms: 9x + -3x = 6x 9 + 6x = 2(x + 3) + -9 Reorder the terms: 9 + 6x = 2(3 + x) + -9 9 + 6x = (3 * 2 + x * 2) + -9 9 + 6x = (6 + 2x) + -9 Reorder the terms: 9 + 6x = 6 + -9 + 2x Combine like terms: 6 + -9 = -3 9 + 6x = -3 + 2x Solving 9 + 6x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + 6x + -2x = -3 + 2x + -2x Combine like terms: 6x + -2x = 4x 9 + 4x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 4x = -3 + 0 9 + 4x = -3 Add '-9' to each side of the equation. 9 + -9 + 4x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = -3 + -9 4x = -3 + -9 Combine like terms: -3 + -9 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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