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Simplifying 5(2x + -3) = 0.5(60 + 2x) Reorder the terms: 5(-3 + 2x) = 0.5(60 + 2x) (-3 * 5 + 2x * 5) = 0.5(60 + 2x) (-15 + 10x) = 0.5(60 + 2x) -15 + 10x = (60 * 0.5 + 2x * 0.5) -15 + 10x = (30 + 1x) Solving -15 + 10x = 30 + 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. -15 + 10x + -1x = 30 + 1x + -1x Combine like terms: 10x + -1x = 9x -15 + 9x = 30 + 1x + -1x Combine like terms: 1x + -1x = 0 -15 + 9x = 30 + 0 -15 + 9x = 30 Add '15' to each side of the equation. -15 + 15 + 9x = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 9x = 30 + 15 9x = 30 + 15 Combine like terms: 30 + 15 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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