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Simplifying 0.16(12) + 0.04 = 0.08(18 + x) Multiply 0.16 * 12 1.92 + 0.04 = 0.08(18 + x) Combine like terms: 1.92 + 0.04 = 1.96 1.96 = 0.08(18 + x) 1.96 = (18 * 0.08 + x * 0.08) 1.96 = (1.44 + 0.08x) Solving 1.96 = 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. 1.96 + -0.08x = 1.44 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 1.96 + -0.08x = 1.44 + 0.00 1.96 + -0.08x = 1.44 Add '-1.96' to each side of the equation. 1.96 + -1.96 + -0.08x = 1.44 + -1.96 Combine like terms: 1.96 + -1.96 = 0.00 0.00 + -0.08x = 1.44 + -1.96 -0.08x = 1.44 + -1.96 Combine like terms: 1.44 + -1.96 = -0.52 -0.08x = -0.52 Divide each side by '-0.08'. x = 6.5 Simplifying x = 6.5
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