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Simplifying 0.16(18) + 0.04 = 0.08(24 + x) Multiply 0.16 * 18 2.88 + 0.04 = 0.08(24 + x) Combine like terms: 2.88 + 0.04 = 2.92 2.92 = 0.08(24 + x) 2.92 = (24 * 0.08 + x * 0.08) 2.92 = (1.92 + 0.08x) Solving 2.92 = 1.92 + 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. 2.92 + -0.08x = 1.92 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 2.92 + -0.08x = 1.92 + 0.00 2.92 + -0.08x = 1.92 Add '-2.92' to each side of the equation. 2.92 + -2.92 + -0.08x = 1.92 + -2.92 Combine like terms: 2.92 + -2.92 = 0.00 0.00 + -0.08x = 1.92 + -2.92 -0.08x = 1.92 + -2.92 Combine like terms: 1.92 + -2.92 = -1 -0.08x = -1 Divide each side by '-0.08'. x = 12.5 Simplifying x = 12.5
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