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Simplifying -4(2 + -3x) = -1(4 + x) + -3(x + 2) (2 * -4 + -3x * -4) = -1(4 + x) + -3(x + 2) (-8 + 12x) = -1(4 + x) + -3(x + 2) -8 + 12x = (4 * -1 + x * -1) + -3(x + 2) -8 + 12x = (-4 + -1x) + -3(x + 2) Reorder the terms: -8 + 12x = -4 + -1x + -3(2 + x) -8 + 12x = -4 + -1x + (2 * -3 + x * -3) -8 + 12x = -4 + -1x + (-6 + -3x) Reorder the terms: -8 + 12x = -4 + -6 + -1x + -3x Combine like terms: -4 + -6 = -10 -8 + 12x = -10 + -1x + -3x Combine like terms: -1x + -3x = -4x -8 + 12x = -10 + -4x Solving -8 + 12x = -10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -8 + 12x + 4x = -10 + -4x + 4x Combine like terms: 12x + 4x = 16x -8 + 16x = -10 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 16x = -10 + 0 -8 + 16x = -10 Add '8' to each side of the equation. -8 + 8 + 16x = -10 + 8 Combine like terms: -8 + 8 = 0 0 + 16x = -10 + 8 16x = -10 + 8 Combine like terms: -10 + 8 = -2 16x = -2 Divide each side by '16'. x = -0.125 Simplifying x = -0.125
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