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Simplifying -3(4 + -1x) = x + -2(x + 1) (4 * -3 + -1x * -3) = x + -2(x + 1) (-12 + 3x) = x + -2(x + 1) Reorder the terms: -12 + 3x = x + -2(1 + x) -12 + 3x = x + (1 * -2 + x * -2) -12 + 3x = x + (-2 + -2x) Reorder the terms: -12 + 3x = -2 + x + -2x Combine like terms: x + -2x = -1x -12 + 3x = -2 + -1x Solving -12 + 3x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 3x + x = -2 + -1x + x Combine like terms: 3x + x = 4x -12 + 4x = -2 + -1x + x Combine like terms: -1x + x = 0 -12 + 4x = -2 + 0 -12 + 4x = -2 Add '12' to each side of the equation. -12 + 12 + 4x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = -2 + 12 4x = -2 + 12 Combine like terms: -2 + 12 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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