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Simplifying 9(x + 2) + -3(x + 3) = 2(x + -1) + 7 Reorder the terms: 9(2 + x) + -3(x + 3) = 2(x + -1) + 7 (2 * 9 + x * 9) + -3(x + 3) = 2(x + -1) + 7 (18 + 9x) + -3(x + 3) = 2(x + -1) + 7 Reorder the terms: 18 + 9x + -3(3 + x) = 2(x + -1) + 7 18 + 9x + (3 * -3 + x * -3) = 2(x + -1) + 7 18 + 9x + (-9 + -3x) = 2(x + -1) + 7 Reorder the terms: 18 + -9 + 9x + -3x = 2(x + -1) + 7 Combine like terms: 18 + -9 = 9 9 + 9x + -3x = 2(x + -1) + 7 Combine like terms: 9x + -3x = 6x 9 + 6x = 2(x + -1) + 7 Reorder the terms: 9 + 6x = 2(-1 + x) + 7 9 + 6x = (-1 * 2 + x * 2) + 7 9 + 6x = (-2 + 2x) + 7 Reorder the terms: 9 + 6x = -2 + 7 + 2x Combine like terms: -2 + 7 = 5 9 + 6x = 5 + 2x Solving 9 + 6x = 5 + 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 = 5 + 2x + -2x Combine like terms: 6x + -2x = 4x 9 + 4x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 4x = 5 + 0 9 + 4x = 5 Add '-9' to each side of the equation. 9 + -9 + 4x = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 5 + -9 4x = 5 + -9 Combine like terms: 5 + -9 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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