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Simplifying 0.8x + 1.5(100) = 1.08(100 + x) Multiply 1.5 * 100 0.8x + 150 = 1.08(100 + x) Reorder the terms: 150 + 0.8x = 1.08(100 + x) 150 + 0.8x = (100 * 1.08 + x * 1.08) 150 + 0.8x = (108 + 1.08x) Solving 150 + 0.8x = 108 + 1.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.08x' to each side of the equation. 150 + 0.8x + -1.08x = 108 + 1.08x + -1.08x Combine like terms: 0.8x + -1.08x = -0.28x 150 + -0.28x = 108 + 1.08x + -1.08x Combine like terms: 1.08x + -1.08x = 0.00 150 + -0.28x = 108 + 0.00 150 + -0.28x = 108 Add '-150' to each side of the equation. 150 + -150 + -0.28x = 108 + -150 Combine like terms: 150 + -150 = 0 0 + -0.28x = 108 + -150 -0.28x = 108 + -150 Combine like terms: 108 + -150 = -42 -0.28x = -42 Divide each side by '-0.28'. x = 150 Simplifying x = 150
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