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Simplifying -12(4 + -3x) = -1x + 3(12x + -9) (4 * -12 + -3x * -12) = -1x + 3(12x + -9) (-48 + 36x) = -1x + 3(12x + -9) Reorder the terms: -48 + 36x = -1x + 3(-9 + 12x) -48 + 36x = -1x + (-9 * 3 + 12x * 3) -48 + 36x = -1x + (-27 + 36x) Reorder the terms: -48 + 36x = -27 + -1x + 36x Combine like terms: -1x + 36x = 35x -48 + 36x = -27 + 35x Solving -48 + 36x = -27 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -48 + 36x + -35x = -27 + 35x + -35x Combine like terms: 36x + -35x = 1x -48 + 1x = -27 + 35x + -35x Combine like terms: 35x + -35x = 0 -48 + 1x = -27 + 0 -48 + 1x = -27 Add '48' to each side of the equation. -48 + 48 + 1x = -27 + 48 Combine like terms: -48 + 48 = 0 0 + 1x = -27 + 48 1x = -27 + 48 Combine like terms: -27 + 48 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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