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Simplifying 0.10x + 0.06(72) = 0.08(x + 72) Multiply 0.06 * 72 0.10x + 4.32 = 0.08(x + 72) Reorder the terms: 4.32 + 0.10x = 0.08(x + 72) Reorder the terms: 4.32 + 0.10x = 0.08(72 + x) 4.32 + 0.10x = (72 * 0.08 + x * 0.08) 4.32 + 0.10x = (5.76 + 0.08x) Solving 4.32 + 0.10x = 5.76 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. 4.32 + 0.10x + -0.08x = 5.76 + 0.08x + -0.08x Combine like terms: 0.10x + -0.08x = 0.02x 4.32 + 0.02x = 5.76 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 4.32 + 0.02x = 5.76 + 0.00 4.32 + 0.02x = 5.76 Add '-4.32' to each side of the equation. 4.32 + -4.32 + 0.02x = 5.76 + -4.32 Combine like terms: 4.32 + -4.32 = 0.00 0.00 + 0.02x = 5.76 + -4.32 0.02x = 5.76 + -4.32 Combine like terms: 5.76 + -4.32 = 1.44 0.02x = 1.44 Divide each side by '0.02'. x = 72 Simplifying x = 72
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