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Simplifying 0.5(6x + -3) = (1 + x) Reorder the terms: 0.5(-3 + 6x) = (1 + x) (-3 * 0.5 + 6x * 0.5) = (1 + x) (-1.5 + 3x) = (1 + x) Remove parenthesis around (1 + x) -1.5 + 3x = 1 + x Solving -1.5 + 3x = 1 + 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. -1.5 + 3x + -1x = 1 + x + -1x Combine like terms: 3x + -1x = 2x -1.5 + 2x = 1 + x + -1x Combine like terms: x + -1x = 0 -1.5 + 2x = 1 + 0 -1.5 + 2x = 1 Add '1.5' to each side of the equation. -1.5 + 1.5 + 2x = 1 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 2x = 1 + 1.5 2x = 1 + 1.5 Combine like terms: 1 + 1.5 = 2.5 2x = 2.5 Divide each side by '2'. x = 1.25 Simplifying x = 1.25
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