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Simplifying 2(x + -1) + -3(2x + 2) = 8 Reorder the terms: 2(-1 + x) + -3(2x + 2) = 8 (-1 * 2 + x * 2) + -3(2x + 2) = 8 (-2 + 2x) + -3(2x + 2) = 8 Reorder the terms: -2 + 2x + -3(2 + 2x) = 8 -2 + 2x + (2 * -3 + 2x * -3) = 8 -2 + 2x + (-6 + -6x) = 8 Reorder the terms: -2 + -6 + 2x + -6x = 8 Combine like terms: -2 + -6 = -8 -8 + 2x + -6x = 8 Combine like terms: 2x + -6x = -4x -8 + -4x = 8 Solving -8 + -4x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -4x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 8 + 8 -4x = 8 + 8 Combine like terms: 8 + 8 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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