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Simplifying 0.14x + 0.03(8) = 0.12(x + 8) Multiply 0.03 * 8 0.14x + 0.24 = 0.12(x + 8) Reorder the terms: 0.24 + 0.14x = 0.12(x + 8) Reorder the terms: 0.24 + 0.14x = 0.12(8 + x) 0.24 + 0.14x = (8 * 0.12 + x * 0.12) 0.24 + 0.14x = (0.96 + 0.12x) Solving 0.24 + 0.14x = 0.96 + 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. 0.24 + 0.14x + -0.12x = 0.96 + 0.12x + -0.12x Combine like terms: 0.14x + -0.12x = 0.02x 0.24 + 0.02x = 0.96 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 0.24 + 0.02x = 0.96 + 0.00 0.24 + 0.02x = 0.96 Add '-0.24' to each side of the equation. 0.24 + -0.24 + 0.02x = 0.96 + -0.24 Combine like terms: 0.24 + -0.24 = 0.00 0.00 + 0.02x = 0.96 + -0.24 0.02x = 0.96 + -0.24 Combine like terms: 0.96 + -0.24 = 0.72 0.02x = 0.72 Divide each side by '0.02'. x = 36 Simplifying x = 36
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