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Simplifying 0.5(4x + -60) = x + 5 Reorder the terms: 0.5(-60 + 4x) = x + 5 (-60 * 0.5 + 4x * 0.5) = x + 5 (-30 + 2x) = x + 5 Reorder the terms: -30 + 2x = 5 + x Solving -30 + 2x = 5 + x 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. -30 + 2x + -1x = 5 + x + -1x Combine like terms: 2x + -1x = 1x -30 + 1x = 5 + x + -1x Combine like terms: x + -1x = 0 -30 + 1x = 5 + 0 -30 + 1x = 5 Add '30' to each side of the equation. -30 + 30 + 1x = 5 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = 5 + 30 1x = 5 + 30 Combine like terms: 5 + 30 = 35 1x = 35 Divide each side by '1'. x = 35 Simplifying x = 35
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