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Simplifying 0.5(13x + 7 + -60) = 5x + -10 Reorder the terms: 0.5(7 + -60 + 13x) = 5x + -10 Combine like terms: 7 + -60 = -53 0.5(-53 + 13x) = 5x + -10 (-53 * 0.5 + 13x * 0.5) = 5x + -10 (-26.5 + 6.5x) = 5x + -10 Reorder the terms: -26.5 + 6.5x = -10 + 5x Solving -26.5 + 6.5x = -10 + 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. -26.5 + 6.5x + -5x = -10 + 5x + -5x Combine like terms: 6.5x + -5x = 1.5x -26.5 + 1.5x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -26.5 + 1.5x = -10 + 0 -26.5 + 1.5x = -10 Add '26.5' to each side of the equation. -26.5 + 26.5 + 1.5x = -10 + 26.5 Combine like terms: -26.5 + 26.5 = 0.0 0.0 + 1.5x = -10 + 26.5 1.5x = -10 + 26.5 Combine like terms: -10 + 26.5 = 16.5 1.5x = 16.5 Divide each side by '1.5'. x = 11 Simplifying x = 11
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