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Simplifying 0.12(6) + 0.02x = 0.06(18 + x) Multiply 0.12 * 6 0.72 + 0.02x = 0.06(18 + x) 0.72 + 0.02x = (18 * 0.06 + x * 0.06) 0.72 + 0.02x = (1.08 + 0.06x) Solving 0.72 + 0.02x = 1.08 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. 0.72 + 0.02x + -0.06x = 1.08 + 0.06x + -0.06x Combine like terms: 0.02x + -0.06x = -0.04x 0.72 + -0.04x = 1.08 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 0.72 + -0.04x = 1.08 + 0.00 0.72 + -0.04x = 1.08 Add '-0.72' to each side of the equation. 0.72 + -0.72 + -0.04x = 1.08 + -0.72 Combine like terms: 0.72 + -0.72 = 0.00 0.00 + -0.04x = 1.08 + -0.72 -0.04x = 1.08 + -0.72 Combine like terms: 1.08 + -0.72 = 0.36 -0.04x = 0.36 Divide each side by '-0.04'. x = -9 Simplifying x = -9
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