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Simplifying 0.12(6) + 0.02x = 0.06(12 + x) Multiply 0.12 * 6 0.72 + 0.02x = 0.06(12 + x) 0.72 + 0.02x = (12 * 0.06 + x * 0.06) 0.72 + 0.02x = (0.72 + 0.06x) Add '-0.72' to each side of the equation. 0.72 + -0.72 + 0.02x = 0.72 + -0.72 + 0.06x Combine like terms: 0.72 + -0.72 = 0.00 0.00 + 0.02x = 0.72 + -0.72 + 0.06x 0.02x = 0.72 + -0.72 + 0.06x Combine like terms: 0.72 + -0.72 = 0.00 0.02x = 0.00 + 0.06x 0.02x = 0.06x Solving 0.02x = 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. 0.02x + -0.06x = 0.06x + -0.06x Combine like terms: 0.02x + -0.06x = -0.04x -0.04x = 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 -0.04x = 0.00 Divide each side by '-0.04'. x = 0 Simplifying x = 0
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