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Simplifying 0.5(x + -2) = 3x + 5 + -2x Reorder the terms: 0.5(-2 + x) = 3x + 5 + -2x (-2 * 0.5 + x * 0.5) = 3x + 5 + -2x (-1 + 0.5x) = 3x + 5 + -2x Reorder the terms: -1 + 0.5x = 5 + 3x + -2x Combine like terms: 3x + -2x = 1x -1 + 0.5x = 5 + 1x Solving -1 + 0.5x = 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. -1 + 0.5x + -1x = 5 + 1x + -1x Combine like terms: 0.5x + -1x = -0.5x -1 + -0.5x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 -1 + -0.5x = 5 + 0 -1 + -0.5x = 5 Add '1' to each side of the equation. -1 + 1 + -0.5x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -0.5x = 5 + 1 -0.5x = 5 + 1 Combine like terms: 5 + 1 = 6 -0.5x = 6 Divide each side by '-0.5'. x = -12 Simplifying x = -12
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