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Simplifying -3(1 + -1x) + 2(x + -4) = 2(x + 1) (1 * -3 + -1x * -3) + 2(x + -4) = 2(x + 1) (-3 + 3x) + 2(x + -4) = 2(x + 1) Reorder the terms: -3 + 3x + 2(-4 + x) = 2(x + 1) -3 + 3x + (-4 * 2 + x * 2) = 2(x + 1) -3 + 3x + (-8 + 2x) = 2(x + 1) Reorder the terms: -3 + -8 + 3x + 2x = 2(x + 1) Combine like terms: -3 + -8 = -11 -11 + 3x + 2x = 2(x + 1) Combine like terms: 3x + 2x = 5x -11 + 5x = 2(x + 1) Reorder the terms: -11 + 5x = 2(1 + x) -11 + 5x = (1 * 2 + x * 2) -11 + 5x = (2 + 2x) Solving -11 + 5x = 2 + 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. -11 + 5x + -2x = 2 + 2x + -2x Combine like terms: 5x + -2x = 3x -11 + 3x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + 3x = 2 + 0 -11 + 3x = 2 Add '11' to each side of the equation. -11 + 11 + 3x = 2 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 2 + 11 3x = 2 + 11 Combine like terms: 2 + 11 = 13 3x = 13 Divide each side by '3'. x = 4.333333333 Simplifying x = 4.333333333
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