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Simplifying 12(0.12) + x(0.2) = 0.14(12 + x) Multiply 12 * 0.12 1.44 + x(0.2) = 0.14(12 + x) Reorder the terms for easier multiplication: 1.44 + 0.2x = 0.14(12 + x) 1.44 + 0.2x = (12 * 0.14 + x * 0.14) 1.44 + 0.2x = (1.68 + 0.14x) Solving 1.44 + 0.2x = 1.68 + 0.14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.14x' to each side of the equation. 1.44 + 0.2x + -0.14x = 1.68 + 0.14x + -0.14x Combine like terms: 0.2x + -0.14x = 0.06x 1.44 + 0.06x = 1.68 + 0.14x + -0.14x Combine like terms: 0.14x + -0.14x = 0.00 1.44 + 0.06x = 1.68 + 0.00 1.44 + 0.06x = 1.68 Add '-1.44' to each side of the equation. 1.44 + -1.44 + 0.06x = 1.68 + -1.44 Combine like terms: 1.44 + -1.44 = 0.00 0.00 + 0.06x = 1.68 + -1.44 0.06x = 1.68 + -1.44 Combine like terms: 1.68 + -1.44 = 0.24 0.06x = 0.24 Divide each side by '0.06'. x = 4 Simplifying x = 4
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