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Simplifying 0.20(12) + 0.5x = 0.10(12 + x) Multiply 0.20 * 12 2.4 + 0.5x = 0.10(12 + x) 2.4 + 0.5x = (12 * 0.10 + x * 0.10) 2.4 + 0.5x = (1.2 + 0.10x) Solving 2.4 + 0.5x = 1.2 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 2.4 + 0.5x + -0.10x = 1.2 + 0.10x + -0.10x Combine like terms: 0.5x + -0.10x = 0.4x 2.4 + 0.4x = 1.2 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 2.4 + 0.4x = 1.2 + 0.00 2.4 + 0.4x = 1.2 Add '-2.4' to each side of the equation. 2.4 + -2.4 + 0.4x = 1.2 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 0.4x = 1.2 + -2.4 0.4x = 1.2 + -2.4 Combine like terms: 1.2 + -2.4 = -1.2 0.4x = -1.2 Divide each side by '0.4'. x = -3 Simplifying x = -3
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