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Simplifying 8x + -3(2x + -4) = 3(x + -12) Reorder the terms: 8x + -3(-4 + 2x) = 3(x + -12) 8x + (-4 * -3 + 2x * -3) = 3(x + -12) 8x + (12 + -6x) = 3(x + -12) Reorder the terms: 12 + 8x + -6x = 3(x + -12) Combine like terms: 8x + -6x = 2x 12 + 2x = 3(x + -12) Reorder the terms: 12 + 2x = 3(-12 + x) 12 + 2x = (-12 * 3 + x * 3) 12 + 2x = (-36 + 3x) Solving 12 + 2x = -36 + 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. 12 + 2x + -3x = -36 + 3x + -3x Combine like terms: 2x + -3x = -1x 12 + -1x = -36 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -1x = -36 + 0 12 + -1x = -36 Add '-12' to each side of the equation. 12 + -12 + -1x = -36 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -36 + -12 -1x = -36 + -12 Combine like terms: -36 + -12 = -48 -1x = -48 Divide each side by '-1'. x = 48 Simplifying x = 48
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