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Simplifying 1 + -2(x + 1) = 3(x + -2) Reorder the terms: 1 + -2(1 + x) = 3(x + -2) 1 + (1 * -2 + x * -2) = 3(x + -2) 1 + (-2 + -2x) = 3(x + -2) Combine like terms: 1 + -2 = -1 -1 + -2x = 3(x + -2) Reorder the terms: -1 + -2x = 3(-2 + x) -1 + -2x = (-2 * 3 + x * 3) -1 + -2x = (-6 + 3x) Solving -1 + -2x = -6 + 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. -1 + -2x + -3x = -6 + 3x + -3x Combine like terms: -2x + -3x = -5x -1 + -5x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -5x = -6 + 0 -1 + -5x = -6 Add '1' to each side of the equation. -1 + 1 + -5x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = -6 + 1 -5x = -6 + 1 Combine like terms: -6 + 1 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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