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Simplifying -1(x + (-1x + 2)) + -3((x + -5x) + 4) = -1(2x + 7) Reorder the terms: -1(x + (2 + -1x)) + -3((x + -5x) + 4) = -1(2x + 7) Remove parenthesis around (2 + -1x) -1(x + 2 + -1x) + -3((x + -5x) + 4) = -1(2x + 7) Reorder the terms: -1(2 + x + -1x) + -3((x + -5x) + 4) = -1(2x + 7) Combine like terms: x + -1x = 0 -1(2 + 0) + -3((x + -5x) + 4) = -1(2x + 7) -1(2) + -3((x + -5x) + 4) = -1(2x + 7) Multiply -1 * 2 -2 + -3((x + -5x) + 4) = -1(2x + 7) Combine like terms: x + -5x = -4x -2 + -3((-4x) + 4) = -1(2x + 7) -2 + -3((-4x) + 4) = -1(2x + 7) Reorder the terms: -2 + -3(4 + (-4x)) = -1(2x + 7) -2 + (4 * -3 + (-4x) * -3) = -1(2x + 7) -2 + (-12 + 12x) = -1(2x + 7) Combine like terms: -2 + -12 = -14 -14 + 12x = -1(2x + 7) Reorder the terms: -14 + 12x = -1(7 + 2x) -14 + 12x = (7 * -1 + 2x * -1) -14 + 12x = (-7 + -2x) Solving -14 + 12x = -7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -14 + 12x + 2x = -7 + -2x + 2x Combine like terms: 12x + 2x = 14x -14 + 14x = -7 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + 14x = -7 + 0 -14 + 14x = -7 Add '14' to each side of the equation. -14 + 14 + 14x = -7 + 14 Combine like terms: -14 + 14 = 0 0 + 14x = -7 + 14 14x = -7 + 14 Combine like terms: -7 + 14 = 7 14x = 7 Divide each side by '14'. x = 0.5 Simplifying x = 0.5
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