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Simplifying 0.14x + 0.05(12) = 0.12(x + 12) Multiply 0.05 * 12 0.14x + 0.6 = 0.12(x + 12) Reorder the terms: 0.6 + 0.14x = 0.12(x + 12) Reorder the terms: 0.6 + 0.14x = 0.12(12 + x) 0.6 + 0.14x = (12 * 0.12 + x * 0.12) 0.6 + 0.14x = (1.44 + 0.12x) Solving 0.6 + 0.14x = 1.44 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. 0.6 + 0.14x + -0.12x = 1.44 + 0.12x + -0.12x Combine like terms: 0.14x + -0.12x = 0.02x 0.6 + 0.02x = 1.44 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 0.6 + 0.02x = 1.44 + 0.00 0.6 + 0.02x = 1.44 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.02x = 1.44 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.02x = 1.44 + -0.6 0.02x = 1.44 + -0.6 Combine like terms: 1.44 + -0.6 = 0.84 0.02x = 0.84 Divide each side by '0.02'. x = 42 Simplifying x = 42
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