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Simplifying 3(x + 9) + -1(x + -3) = x Reorder the terms: 3(9 + x) + -1(x + -3) = x (9 * 3 + x * 3) + -1(x + -3) = x (27 + 3x) + -1(x + -3) = x Reorder the terms: 27 + 3x + -1(-3 + x) = x 27 + 3x + (-3 * -1 + x * -1) = x 27 + 3x + (3 + -1x) = x Reorder the terms: 27 + 3 + 3x + -1x = x Combine like terms: 27 + 3 = 30 30 + 3x + -1x = x Combine like terms: 3x + -1x = 2x 30 + 2x = x Solving 30 + 2x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 30 + 2x + -1x = x + -1x Combine like terms: 2x + -1x = 1x 30 + 1x = x + -1x Combine like terms: x + -1x = 0 30 + 1x = 0 Add '-30' to each side of the equation. 30 + -30 + 1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 0 + -30 1x = 0 + -30 Combine like terms: 0 + -30 = -30 1x = -30 Divide each side by '1'. x = -30 Simplifying x = -30
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