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Simplifying 2x + -2(x + 1) = -8 + -3(x + 1) Reorder the terms: 2x + -2(1 + x) = -8 + -3(x + 1) 2x + (1 * -2 + x * -2) = -8 + -3(x + 1) 2x + (-2 + -2x) = -8 + -3(x + 1) Reorder the terms: -2 + 2x + -2x = -8 + -3(x + 1) Combine like terms: 2x + -2x = 0 -2 + 0 = -8 + -3(x + 1) -2 = -8 + -3(x + 1) Reorder the terms: -2 = -8 + -3(1 + x) -2 = -8 + (1 * -3 + x * -3) -2 = -8 + (-3 + -3x) Combine like terms: -8 + -3 = -11 -2 = -11 + -3x Solving -2 = -11 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + 3x = -11 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 3x = -11 + 0 -2 + 3x = -11 Add '2' to each side of the equation. -2 + 2 + 3x = -11 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = -11 + 2 3x = -11 + 2 Combine like terms: -11 + 2 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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