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Simplifying -4(3x + -6) + -1(8x + 12) = 3(-1x + -2) + 8x Reorder the terms: -4(-6 + 3x) + -1(8x + 12) = 3(-1x + -2) + 8x (-6 * -4 + 3x * -4) + -1(8x + 12) = 3(-1x + -2) + 8x (24 + -12x) + -1(8x + 12) = 3(-1x + -2) + 8x Reorder the terms: 24 + -12x + -1(12 + 8x) = 3(-1x + -2) + 8x 24 + -12x + (12 * -1 + 8x * -1) = 3(-1x + -2) + 8x 24 + -12x + (-12 + -8x) = 3(-1x + -2) + 8x Reorder the terms: 24 + -12 + -12x + -8x = 3(-1x + -2) + 8x Combine like terms: 24 + -12 = 12 12 + -12x + -8x = 3(-1x + -2) + 8x Combine like terms: -12x + -8x = -20x 12 + -20x = 3(-1x + -2) + 8x Reorder the terms: 12 + -20x = 3(-2 + -1x) + 8x 12 + -20x = (-2 * 3 + -1x * 3) + 8x 12 + -20x = (-6 + -3x) + 8x Combine like terms: -3x + 8x = 5x 12 + -20x = -6 + 5x Solving 12 + -20x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + -20x + -5x = -6 + 5x + -5x Combine like terms: -20x + -5x = -25x 12 + -25x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -25x = -6 + 0 12 + -25x = -6 Add '-12' to each side of the equation. 12 + -12 + -25x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -25x = -6 + -12 -25x = -6 + -12 Combine like terms: -6 + -12 = -18 -25x = -18 Divide each side by '-25'. x = 0.72 Simplifying x = 0.72
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