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Simplifying 9x + 2(36) = 7.5(x + 36) Multiply 2 * 36 9x + 72 = 7.5(x + 36) Reorder the terms: 72 + 9x = 7.5(x + 36) Reorder the terms: 72 + 9x = 7.5(36 + x) 72 + 9x = (36 * 7.5 + x * 7.5) 72 + 9x = (270 + 7.5x) Solving 72 + 9x = 270 + 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. 72 + 9x + -7.5x = 270 + 7.5x + -7.5x Combine like terms: 9x + -7.5x = 1.5x 72 + 1.5x = 270 + 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 72 + 1.5x = 270 + 0.0 72 + 1.5x = 270 Add '-72' to each side of the equation. 72 + -72 + 1.5x = 270 + -72 Combine like terms: 72 + -72 = 0 0 + 1.5x = 270 + -72 1.5x = 270 + -72 Combine like terms: 270 + -72 = 198 1.5x = 198 Divide each side by '1.5'. x = 132 Simplifying x = 132
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