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Simplifying 2(x + -3) + -2(x + 1) = -1(x + 1) Reorder the terms: 2(-3 + x) + -2(x + 1) = -1(x + 1) (-3 * 2 + x * 2) + -2(x + 1) = -1(x + 1) (-6 + 2x) + -2(x + 1) = -1(x + 1) Reorder the terms: -6 + 2x + -2(1 + x) = -1(x + 1) -6 + 2x + (1 * -2 + x * -2) = -1(x + 1) -6 + 2x + (-2 + -2x) = -1(x + 1) Reorder the terms: -6 + -2 + 2x + -2x = -1(x + 1) Combine like terms: -6 + -2 = -8 -8 + 2x + -2x = -1(x + 1) Combine like terms: 2x + -2x = 0 -8 + 0 = -1(x + 1) -8 = -1(x + 1) Reorder the terms: -8 = -1(1 + x) -8 = (1 * -1 + x * -1) -8 = (-1 + -1x) Solving -8 = -1 + -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. -8 + x = -1 + -1x + x Combine like terms: -1x + x = 0 -8 + x = -1 + 0 -8 + x = -1 Add '8' to each side of the equation. -8 + 8 + x = -1 + 8 Combine like terms: -8 + 8 = 0 0 + x = -1 + 8 x = -1 + 8 Combine like terms: -1 + 8 = 7 x = 7 Simplifying x = 7
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