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Simplifying 3(x + 9) + -3(-2x + -2) = 96 Reorder the terms: 3(9 + x) + -3(-2x + -2) = 96 (9 * 3 + x * 3) + -3(-2x + -2) = 96 (27 + 3x) + -3(-2x + -2) = 96 Reorder the terms: 27 + 3x + -3(-2 + -2x) = 96 27 + 3x + (-2 * -3 + -2x * -3) = 96 27 + 3x + (6 + 6x) = 96 Reorder the terms: 27 + 6 + 3x + 6x = 96 Combine like terms: 27 + 6 = 33 33 + 3x + 6x = 96 Combine like terms: 3x + 6x = 9x 33 + 9x = 96 Solving 33 + 9x = 96 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 9x = 96 + -33 Combine like terms: 33 + -33 = 0 0 + 9x = 96 + -33 9x = 96 + -33 Combine like terms: 96 + -33 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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