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Simplifying 4(6x + -108) = 3(-1x + -9) Reorder the terms: 4(-108 + 6x) = 3(-1x + -9) (-108 * 4 + 6x * 4) = 3(-1x + -9) (-432 + 24x) = 3(-1x + -9) Reorder the terms: -432 + 24x = 3(-9 + -1x) -432 + 24x = (-9 * 3 + -1x * 3) -432 + 24x = (-27 + -3x) Solving -432 + 24x = -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. -432 + 24x + 3x = -27 + -3x + 3x Combine like terms: 24x + 3x = 27x -432 + 27x = -27 + -3x + 3x Combine like terms: -3x + 3x = 0 -432 + 27x = -27 + 0 -432 + 27x = -27 Add '432' to each side of the equation. -432 + 432 + 27x = -27 + 432 Combine like terms: -432 + 432 = 0 0 + 27x = -27 + 432 27x = -27 + 432 Combine like terms: -27 + 432 = 405 27x = 405 Divide each side by '27'. x = 15 Simplifying x = 15
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