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Simplifying 0.16(18 + 0.04x) = 0.08(18 + x) (18 * 0.16 + 0.04x * 0.16) = 0.08(18 + x) (2.88 + 0.0064x) = 0.08(18 + x) 2.88 + 0.0064x = (18 * 0.08 + x * 0.08) 2.88 + 0.0064x = (1.44 + 0.08x) Solving 2.88 + 0.0064x = 1.44 + 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. 2.88 + 0.0064x + -0.08x = 1.44 + 0.08x + -0.08x Combine like terms: 0.0064x + -0.08x = -0.0736x 2.88 + -0.0736x = 1.44 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 2.88 + -0.0736x = 1.44 + 0.00 2.88 + -0.0736x = 1.44 Add '-2.88' to each side of the equation. 2.88 + -2.88 + -0.0736x = 1.44 + -2.88 Combine like terms: 2.88 + -2.88 = 0.00 0.00 + -0.0736x = 1.44 + -2.88 -0.0736x = 1.44 + -2.88 Combine like terms: 1.44 + -2.88 = -1.44 -0.0736x = -1.44 Divide each side by '-0.0736'. x = 19.56521739 Simplifying x = 19.56521739
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