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Simplifying -1(x + 2) + -1(x + -4) = -5x Reorder the terms: -1(2 + x) + -1(x + -4) = -5x (2 * -1 + x * -1) + -1(x + -4) = -5x (-2 + -1x) + -1(x + -4) = -5x Reorder the terms: -2 + -1x + -1(-4 + x) = -5x -2 + -1x + (-4 * -1 + x * -1) = -5x -2 + -1x + (4 + -1x) = -5x Reorder the terms: -2 + 4 + -1x + -1x = -5x Combine like terms: -2 + 4 = 2 2 + -1x + -1x = -5x Combine like terms: -1x + -1x = -2x 2 + -2x = -5x Solving 2 + -2x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + -2x + 5x = -5x + 5x Combine like terms: -2x + 5x = 3x 2 + 3x = -5x + 5x Combine like terms: -5x + 5x = 0 2 + 3x = 0 Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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