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Simplifying 0.10x + 0.20 * 12 = 0.14(x + 12) Multiply 0.20 * 12 0.10x + 2.4 = 0.14(x + 12) Reorder the terms: 2.4 + 0.10x = 0.14(x + 12) Reorder the terms: 2.4 + 0.10x = 0.14(12 + x) 2.4 + 0.10x = (12 * 0.14 + x * 0.14) 2.4 + 0.10x = (1.68 + 0.14x) Solving 2.4 + 0.10x = 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. 2.4 + 0.10x + -0.14x = 1.68 + 0.14x + -0.14x Combine like terms: 0.10x + -0.14x = -0.04x 2.4 + -0.04x = 1.68 + 0.14x + -0.14x Combine like terms: 0.14x + -0.14x = 0.00 2.4 + -0.04x = 1.68 + 0.00 2.4 + -0.04x = 1.68 Add '-2.4' to each side of the equation. 2.4 + -2.4 + -0.04x = 1.68 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -0.04x = 1.68 + -2.4 -0.04x = 1.68 + -2.4 Combine like terms: 1.68 + -2.4 = -0.72 -0.04x = -0.72 Divide each side by '-0.04'. x = 18 Simplifying x = 18
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