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Simplifying 0.30x + 0.60(12) = 0.45(x + 12) Multiply 0.60 * 12 0.30x + 7.2 = 0.45(x + 12) Reorder the terms: 7.2 + 0.30x = 0.45(x + 12) Reorder the terms: 7.2 + 0.30x = 0.45(12 + x) 7.2 + 0.30x = (12 * 0.45 + x * 0.45) 7.2 + 0.30x = (5.4 + 0.45x) Solving 7.2 + 0.30x = 5.4 + 0.45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.45x' to each side of the equation. 7.2 + 0.30x + -0.45x = 5.4 + 0.45x + -0.45x Combine like terms: 0.30x + -0.45x = -0.15x 7.2 + -0.15x = 5.4 + 0.45x + -0.45x Combine like terms: 0.45x + -0.45x = 0.00 7.2 + -0.15x = 5.4 + 0.00 7.2 + -0.15x = 5.4 Add '-7.2' to each side of the equation. 7.2 + -7.2 + -0.15x = 5.4 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + -0.15x = 5.4 + -7.2 -0.15x = 5.4 + -7.2 Combine like terms: 5.4 + -7.2 = -1.8 -0.15x = -1.8 Divide each side by '-0.15'. x = 12 Simplifying x = 12
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