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Simplifying 0.14x + 0.05(6) = 0.12(x + 6) Multiply 0.05 * 6 0.14x + 0.3 = 0.12(x + 6) Reorder the terms: 0.3 + 0.14x = 0.12(x + 6) Reorder the terms: 0.3 + 0.14x = 0.12(6 + x) 0.3 + 0.14x = (6 * 0.12 + x * 0.12) 0.3 + 0.14x = (0.72 + 0.12x) Solving 0.3 + 0.14x = 0.72 + 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. 0.3 + 0.14x + -0.12x = 0.72 + 0.12x + -0.12x Combine like terms: 0.14x + -0.12x = 0.02x 0.3 + 0.02x = 0.72 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 0.3 + 0.02x = 0.72 + 0.00 0.3 + 0.02x = 0.72 Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.02x = 0.72 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.02x = 0.72 + -0.3 0.02x = 0.72 + -0.3 Combine like terms: 0.72 + -0.3 = 0.42 0.02x = 0.42 Divide each side by '0.02'. x = 21 Simplifying x = 21
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