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