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Simplifying 0.5(4x + -2) = 0.5x + 10 + -2 + -1.5x Reorder the terms: 0.5(-2 + 4x) = 0.5x + 10 + -2 + -1.5x (-2 * 0.5 + 4x * 0.5) = 0.5x + 10 + -2 + -1.5x (-1 + 2x) = 0.5x + 10 + -2 + -1.5x Reorder the terms: -1 + 2x = 10 + -2 + 0.5x + -1.5x Combine like terms: 10 + -2 = 8 -1 + 2x = 8 + 0.5x + -1.5x Combine like terms: 0.5x + -1.5x = -1x -1 + 2x = 8 + -1x Solving -1 + 2x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + 2x + x = 8 + -1x + x Combine like terms: 2x + x = 3x -1 + 3x = 8 + -1x + x Combine like terms: -1x + x = 0 -1 + 3x = 8 + 0 -1 + 3x = 8 Add '1' to each side of the equation. -1 + 1 + 3x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 8 + 1 3x = 8 + 1 Combine like terms: 8 + 1 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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