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Simplifying 0.5(x + -10) = 13 + 5x Reorder the terms: 0.5(-10 + x) = 13 + 5x (-10 * 0.5 + x * 0.5) = 13 + 5x (-5 + 0.5x) = 13 + 5x Solving -5 + 0.5x = 13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 0.5x + -5x = 13 + 5x + -5x Combine like terms: 0.5x + -5x = -4.5x -5 + -4.5x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -4.5x = 13 + 0 -5 + -4.5x = 13 Add '5' to each side of the equation. -5 + 5 + -4.5x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + -4.5x = 13 + 5 -4.5x = 13 + 5 Combine like terms: 13 + 5 = 18 -4.5x = 18 Divide each side by '-4.5'. x = -4 Simplifying x = -4
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