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Simplifying 0.5(x + -2) + 2 = 0.375(3x + -4) Reorder the terms: 0.5(-2 + x) + 2 = 0.375(3x + -4) (-2 * 0.5 + x * 0.5) + 2 = 0.375(3x + -4) (-1 + 0.5x) + 2 = 0.375(3x + -4) Reorder the terms: -1 + 2 + 0.5x = 0.375(3x + -4) Combine like terms: -1 + 2 = 1 1 + 0.5x = 0.375(3x + -4) Reorder the terms: 1 + 0.5x = 0.375(-4 + 3x) 1 + 0.5x = (-4 * 0.375 + 3x * 0.375) 1 + 0.5x = (-1.5 + 1.125x) Solving 1 + 0.5x = -1.5 + 1.125x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.125x' to each side of the equation. 1 + 0.5x + -1.125x = -1.5 + 1.125x + -1.125x Combine like terms: 0.5x + -1.125x = -0.625x 1 + -0.625x = -1.5 + 1.125x + -1.125x Combine like terms: 1.125x + -1.125x = 0.000 1 + -0.625x = -1.5 + 0.000 1 + -0.625x = -1.5 Add '-1' to each side of the equation. 1 + -1 + -0.625x = -1.5 + -1 Combine like terms: 1 + -1 = 0 0 + -0.625x = -1.5 + -1 -0.625x = -1.5 + -1 Combine like terms: -1.5 + -1 = -2.5 -0.625x = -2.5 Divide each side by '-0.625'. x = 4 Simplifying x = 4
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