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Simplifying -6(x + -30) = 3(x + 9) Reorder the terms: -6(-30 + x) = 3(x + 9) (-30 * -6 + x * -6) = 3(x + 9) (180 + -6x) = 3(x + 9) Reorder the terms: 180 + -6x = 3(9 + x) 180 + -6x = (9 * 3 + x * 3) 180 + -6x = (27 + 3x) Solving 180 + -6x = 27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 180 + -6x + -3x = 27 + 3x + -3x Combine like terms: -6x + -3x = -9x 180 + -9x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 180 + -9x = 27 + 0 180 + -9x = 27 Add '-180' to each side of the equation. 180 + -180 + -9x = 27 + -180 Combine like terms: 180 + -180 = 0 0 + -9x = 27 + -180 -9x = 27 + -180 Combine like terms: 27 + -180 = -153 -9x = -153 Divide each side by '-9'. x = 17 Simplifying x = 17
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