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Simplifying 0.5(x + -5) = 15 + -1x Reorder the terms: 0.5(-5 + x) = 15 + -1x (-5 * 0.5 + x * 0.5) = 15 + -1x (-2.5 + 0.5x) = 15 + -1x Solving -2.5 + 0.5x = 15 + -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. -2.5 + 0.5x + x = 15 + -1x + x Combine like terms: 0.5x + x = 1.5x -2.5 + 1.5x = 15 + -1x + x Combine like terms: -1x + x = 0 -2.5 + 1.5x = 15 + 0 -2.5 + 1.5x = 15 Add '2.5' to each side of the equation. -2.5 + 2.5 + 1.5x = 15 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 1.5x = 15 + 2.5 1.5x = 15 + 2.5 Combine like terms: 15 + 2.5 = 17.5 1.5x = 17.5 Divide each side by '1.5'. x = 11.66666667 Simplifying x = 11.66666667
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