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Simplifying 0.16(12) + 0.04x = 0.08(18 + x) Multiply 0.16 * 12 1.92 + 0.04x = 0.08(18 + x) 1.92 + 0.04x = (18 * 0.08 + x * 0.08) 1.92 + 0.04x = (1.44 + 0.08x) Solving 1.92 + 0.04x = 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. 1.92 + 0.04x + -0.08x = 1.44 + 0.08x + -0.08x Combine like terms: 0.04x + -0.08x = -0.04x 1.92 + -0.04x = 1.44 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 1.92 + -0.04x = 1.44 + 0.00 1.92 + -0.04x = 1.44 Add '-1.92' to each side of the equation. 1.92 + -1.92 + -0.04x = 1.44 + -1.92 Combine like terms: 1.92 + -1.92 = 0.00 0.00 + -0.04x = 1.44 + -1.92 -0.04x = 1.44 + -1.92 Combine like terms: 1.44 + -1.92 = -0.48 -0.04x = -0.48 Divide each side by '-0.04'. x = 12 Simplifying x = 12
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