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Simplifying (x + -2) * 2 + -1(x + -1) * 2 = -2x + 1 Reorder the terms: (-2 + x) * 2 + -1(x + -1) * 2 = -2x + 1 Reorder the terms for easier multiplication: 2(-2 + x) + -1(x + -1) * 2 = -2x + 1 (-2 * 2 + x * 2) + -1(x + -1) * 2 = -2x + 1 (-4 + 2x) + -1(x + -1) * 2 = -2x + 1 Reorder the terms: -4 + 2x + -1(-1 + x) * 2 = -2x + 1 Reorder the terms for easier multiplication: -4 + 2x + -1 * 2(-1 + x) = -2x + 1 Multiply -1 * 2 -4 + 2x + -2(-1 + x) = -2x + 1 -4 + 2x + (-1 * -2 + x * -2) = -2x + 1 -4 + 2x + (2 + -2x) = -2x + 1 Reorder the terms: -4 + 2 + 2x + -2x = -2x + 1 Combine like terms: -4 + 2 = -2 -2 + 2x + -2x = -2x + 1 Combine like terms: 2x + -2x = 0 -2 + 0 = -2x + 1 -2 = -2x + 1 Reorder the terms: -2 = 1 + -2x Solving -2 = 1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 2x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 2x = 1 + 0 -2 + 2x = 1 Add '2' to each side of the equation. -2 + 2 + 2x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 1 + 2 2x = 1 + 2 Combine like terms: 1 + 2 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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