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Simplifying 3(x + -1) + 4(2x + -2) = (x + -1) Reorder the terms: 3(-1 + x) + 4(2x + -2) = (x + -1) (-1 * 3 + x * 3) + 4(2x + -2) = (x + -1) (-3 + 3x) + 4(2x + -2) = (x + -1) Reorder the terms: -3 + 3x + 4(-2 + 2x) = (x + -1) -3 + 3x + (-2 * 4 + 2x * 4) = (x + -1) -3 + 3x + (-8 + 8x) = (x + -1) Reorder the terms: -3 + -8 + 3x + 8x = (x + -1) Combine like terms: -3 + -8 = -11 -11 + 3x + 8x = (x + -1) Combine like terms: 3x + 8x = 11x -11 + 11x = (x + -1) Reorder the terms: -11 + 11x = (-1 + x) Remove parenthesis around (-1 + x) -11 + 11x = -1 + x Solving -11 + 11x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -11 + 11x + -1x = -1 + x + -1x Combine like terms: 11x + -1x = 10x -11 + 10x = -1 + x + -1x Combine like terms: x + -1x = 0 -11 + 10x = -1 + 0 -11 + 10x = -1 Add '11' to each side of the equation. -11 + 11 + 10x = -1 + 11 Combine like terms: -11 + 11 = 0 0 + 10x = -1 + 11 10x = -1 + 11 Combine like terms: -1 + 11 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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