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Simplifying -2(x + -1) + 3(2x + -2) = -100 Reorder the terms: -2(-1 + x) + 3(2x + -2) = -100 (-1 * -2 + x * -2) + 3(2x + -2) = -100 (2 + -2x) + 3(2x + -2) = -100 Reorder the terms: 2 + -2x + 3(-2 + 2x) = -100 2 + -2x + (-2 * 3 + 2x * 3) = -100 2 + -2x + (-6 + 6x) = -100 Reorder the terms: 2 + -6 + -2x + 6x = -100 Combine like terms: 2 + -6 = -4 -4 + -2x + 6x = -100 Combine like terms: -2x + 6x = 4x -4 + 4x = -100 Solving -4 + 4x = -100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 4x = -100 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = -100 + 4 4x = -100 + 4 Combine like terms: -100 + 4 = -96 4x = -96 Divide each side by '4'. x = -24 Simplifying x = -24
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