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Simplifying -10(3x + -9) = 12(1 + -3x) Reorder the terms: -10(-9 + 3x) = 12(1 + -3x) (-9 * -10 + 3x * -10) = 12(1 + -3x) (90 + -30x) = 12(1 + -3x) 90 + -30x = (1 * 12 + -3x * 12) 90 + -30x = (12 + -36x) Solving 90 + -30x = 12 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 90 + -30x + 36x = 12 + -36x + 36x Combine like terms: -30x + 36x = 6x 90 + 6x = 12 + -36x + 36x Combine like terms: -36x + 36x = 0 90 + 6x = 12 + 0 90 + 6x = 12 Add '-90' to each side of the equation. 90 + -90 + 6x = 12 + -90 Combine like terms: 90 + -90 = 0 0 + 6x = 12 + -90 6x = 12 + -90 Combine like terms: 12 + -90 = -78 6x = -78 Divide each side by '6'. x = -13 Simplifying x = -13
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