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Simplifying 2.5(x + 15) = x + 69 Reorder the terms: 2.5(15 + x) = x + 69 (15 * 2.5 + x * 2.5) = x + 69 (37.5 + 2.5x) = x + 69 Reorder the terms: 37.5 + 2.5x = 69 + x Solving 37.5 + 2.5x = 69 + 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. 37.5 + 2.5x + -1x = 69 + x + -1x Combine like terms: 2.5x + -1x = 1.5x 37.5 + 1.5x = 69 + x + -1x Combine like terms: x + -1x = 0 37.5 + 1.5x = 69 + 0 37.5 + 1.5x = 69 Add '-37.5' to each side of the equation. 37.5 + -37.5 + 1.5x = 69 + -37.5 Combine like terms: 37.5 + -37.5 = 0.0 0.0 + 1.5x = 69 + -37.5 1.5x = 69 + -37.5 Combine like terms: 69 + -37.5 = 31.5 1.5x = 31.5 Divide each side by '1.5'. x = 21 Simplifying x = 21
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