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Simplifying (x + -2) * 2 + -1(3 + -1x) * 2 = 1 Reorder the terms: (-2 + x) * 2 + -1(3 + -1x) * 2 = 1 Reorder the terms for easier multiplication: 2(-2 + x) + -1(3 + -1x) * 2 = 1 (-2 * 2 + x * 2) + -1(3 + -1x) * 2 = 1 (-4 + 2x) + -1(3 + -1x) * 2 = 1 Reorder the terms for easier multiplication: -4 + 2x + -1 * 2(3 + -1x) = 1 Multiply -1 * 2 -4 + 2x + -2(3 + -1x) = 1 -4 + 2x + (3 * -2 + -1x * -2) = 1 -4 + 2x + (-6 + 2x) = 1 Reorder the terms: -4 + -6 + 2x + 2x = 1 Combine like terms: -4 + -6 = -10 -10 + 2x + 2x = 1 Combine like terms: 2x + 2x = 4x -10 + 4x = 1 Solving -10 + 4x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 4x = 1 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 1 + 10 4x = 1 + 10 Combine like terms: 1 + 10 = 11 4x = 11 Divide each side by '4'. x = 2.75 Simplifying x = 2.75
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