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Simplifying 2 + -3(x + 1) = 1 + -2(1 + 0.5x) Reorder the terms: 2 + -3(1 + x) = 1 + -2(1 + 0.5x) 2 + (1 * -3 + x * -3) = 1 + -2(1 + 0.5x) 2 + (-3 + -3x) = 1 + -2(1 + 0.5x) Combine like terms: 2 + -3 = -1 -1 + -3x = 1 + -2(1 + 0.5x) -1 + -3x = 1 + (1 * -2 + 0.5x * -2) -1 + -3x = 1 + (-2 + -1x) Combine like terms: 1 + -2 = -1 -1 + -3x = -1 + -1x Add '1' to each side of the equation. -1 + 1 + -3x = -1 + 1 + -1x Combine like terms: -1 + 1 = 0 0 + -3x = -1 + 1 + -1x -3x = -1 + 1 + -1x Combine like terms: -1 + 1 = 0 -3x = 0 + -1x -3x = -1x Solving -3x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3x + x = -1x + x Combine like terms: -3x + x = -2x -2x = -1x + x Combine like terms: -1x + x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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