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Simplifying 0.5x + -1(-1x + 3) = x + -3 Reorder the terms: 0.5x + -1(3 + -1x) = x + -3 0.5x + (3 * -1 + -1x * -1) = x + -3 0.5x + (-3 + 1x) = x + -3 Reorder the terms: -3 + 0.5x + 1x = x + -3 Combine like terms: 0.5x + 1x = 1.5x -3 + 1.5x = x + -3 Reorder the terms: -3 + 1.5x = -3 + x Add '3' to each side of the equation. -3 + 3 + 1.5x = -3 + 3 + x Combine like terms: -3 + 3 = 0 0 + 1.5x = -3 + 3 + x 1.5x = -3 + 3 + x Combine like terms: -3 + 3 = 0 1.5x = 0 + x 1.5x = x Solving 1.5x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1.5x + -1x = x + -1x Combine like terms: 1.5x + -1x = 0.5x 0.5x = x + -1x Combine like terms: x + -1x = 0 0.5x = 0 Divide each side by '0.5'. x = 0 Simplifying x = 0
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