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Simplifying 12(0.1) + 0x = 0.06(12 + x) Multiply 12 * 0.1 1.2 + 0x = 0.06(12 + x) Anything times zero is zero. 1.2 + 0x = 0.06(12 + x) Combine like terms: 1.2 + 0 = 1.2 1.2 = 0.06(12 + x) 1.2 = (12 * 0.06 + x * 0.06) 1.2 = (0.72 + 0.06x) Solving 1.2 = 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. 1.2 + -0.06x = 0.72 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 1.2 + -0.06x = 0.72 + 0.00 1.2 + -0.06x = 0.72 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -0.06x = 0.72 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.06x = 0.72 + -1.2 -0.06x = 0.72 + -1.2 Combine like terms: 0.72 + -1.2 = -0.48 -0.06x = -0.48 Divide each side by '-0.06'. x = 8 Simplifying x = 8
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