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Simplifying 10(9 + -3x) = -9(4x + 12) + -12x (9 * 10 + -3x * 10) = -9(4x + 12) + -12x (90 + -30x) = -9(4x + 12) + -12x Reorder the terms: 90 + -30x = -9(12 + 4x) + -12x 90 + -30x = (12 * -9 + 4x * -9) + -12x 90 + -30x = (-108 + -36x) + -12x Combine like terms: -36x + -12x = -48x 90 + -30x = -108 + -48x Solving 90 + -30x = -108 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. 90 + -30x + 48x = -108 + -48x + 48x Combine like terms: -30x + 48x = 18x 90 + 18x = -108 + -48x + 48x Combine like terms: -48x + 48x = 0 90 + 18x = -108 + 0 90 + 18x = -108 Add '-90' to each side of the equation. 90 + -90 + 18x = -108 + -90 Combine like terms: 90 + -90 = 0 0 + 18x = -108 + -90 18x = -108 + -90 Combine like terms: -108 + -90 = -198 18x = -198 Divide each side by '18'. x = -11 Simplifying x = -11
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