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Simplifying 1.2(x + 7.5) = 2.5x + -17 Reorder the terms: 1.2(7.5 + x) = 2.5x + -17 (7.5 * 1.2 + x * 1.2) = 2.5x + -17 (9 + 1.2x) = 2.5x + -17 Reorder the terms: 9 + 1.2x = -17 + 2.5x Solving 9 + 1.2x = -17 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 9 + 1.2x + -2.5x = -17 + 2.5x + -2.5x Combine like terms: 1.2x + -2.5x = -1.3x 9 + -1.3x = -17 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 9 + -1.3x = -17 + 0.0 9 + -1.3x = -17 Add '-9' to each side of the equation. 9 + -9 + -1.3x = -17 + -9 Combine like terms: 9 + -9 = 0 0 + -1.3x = -17 + -9 -1.3x = -17 + -9 Combine like terms: -17 + -9 = -26 -1.3x = -26 Divide each side by '-1.3'. x = 20 Simplifying x = 20
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