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Simplifying 3 + -1(2x + 1) = 0.5(4x + 2) Reorder the terms: 3 + -1(1 + 2x) = 0.5(4x + 2) 3 + (1 * -1 + 2x * -1) = 0.5(4x + 2) 3 + (-1 + -2x) = 0.5(4x + 2) Combine like terms: 3 + -1 = 2 2 + -2x = 0.5(4x + 2) Reorder the terms: 2 + -2x = 0.5(2 + 4x) 2 + -2x = (2 * 0.5 + 4x * 0.5) 2 + -2x = (1 + 2x) Solving 2 + -2x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2 + -2x + -2x = 1 + 2x + -2x Combine like terms: -2x + -2x = -4x 2 + -4x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -4x = 1 + 0 2 + -4x = 1 Add '-2' to each side of the equation. 2 + -2 + -4x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 1 + -2 -4x = 1 + -2 Combine like terms: 1 + -2 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25
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