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Simplifying 0.12(12) + 0.02x = 0.06(12 + x) Multiply 0.12 * 12 1.44 + 0.02x = 0.06(12 + x) 1.44 + 0.02x = (12 * 0.06 + x * 0.06) 1.44 + 0.02x = (0.72 + 0.06x) Solving 1.44 + 0.02x = 0.72 + 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. 1.44 + 0.02x + -0.06x = 0.72 + 0.06x + -0.06x Combine like terms: 0.02x + -0.06x = -0.04x 1.44 + -0.04x = 0.72 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 1.44 + -0.04x = 0.72 + 0.00 1.44 + -0.04x = 0.72 Add '-1.44' to each side of the equation. 1.44 + -1.44 + -0.04x = 0.72 + -1.44 Combine like terms: 1.44 + -1.44 = 0.00 0.00 + -0.04x = 0.72 + -1.44 -0.04x = 0.72 + -1.44 Combine like terms: 0.72 + -1.44 = -0.72 -0.04x = -0.72 Divide each side by '-0.04'. x = 18 Simplifying x = 18
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