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Simplifying -3(1 + -1x) = (0.5)(2x + 1) (1 * -3 + -1x * -3) = (0.5)(2x + 1) (-3 + 3x) = (0.5)(2x + 1) Reorder the terms: -3 + 3x = 0.5(1 + 2x) -3 + 3x = (1 * 0.5 + 2x * 0.5) -3 + 3x = (0.5 + 1x) Solving -3 + 3x = 0.5 + 1x 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. -3 + 3x + -1x = 0.5 + 1x + -1x Combine like terms: 3x + -1x = 2x -3 + 2x = 0.5 + 1x + -1x Combine like terms: 1x + -1x = 0 -3 + 2x = 0.5 + 0 -3 + 2x = 0.5 Add '3' to each side of the equation. -3 + 3 + 2x = 0.5 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 0.5 + 3 2x = 0.5 + 3 Combine like terms: 0.5 + 3 = 3.5 2x = 3.5 Divide each side by '2'. x = 1.75 Simplifying x = 1.75
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