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Simplifying -3x + -1(-4 + -2x) = -3(3x + 4) -3x + (-4 * -1 + -2x * -1) = -3(3x + 4) -3x + (4 + 2x) = -3(3x + 4) Reorder the terms: 4 + -3x + 2x = -3(3x + 4) Combine like terms: -3x + 2x = -1x 4 + -1x = -3(3x + 4) Reorder the terms: 4 + -1x = -3(4 + 3x) 4 + -1x = (4 * -3 + 3x * -3) 4 + -1x = (-12 + -9x) Solving 4 + -1x = -12 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 4 + -1x + 9x = -12 + -9x + 9x Combine like terms: -1x + 9x = 8x 4 + 8x = -12 + -9x + 9x Combine like terms: -9x + 9x = 0 4 + 8x = -12 + 0 4 + 8x = -12 Add '-4' to each side of the equation. 4 + -4 + 8x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = -12 + -4 8x = -12 + -4 Combine like terms: -12 + -4 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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