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Simplifying 0.4(12 + x) = 0.6(12 + x) (12 * 0.4 + x * 0.4) = 0.6(12 + x) (4.8 + 0.4x) = 0.6(12 + x) 4.8 + 0.4x = (12 * 0.6 + x * 0.6) 4.8 + 0.4x = (7.2 + 0.6x) Solving 4.8 + 0.4x = 7.2 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 4.8 + 0.4x + -0.6x = 7.2 + 0.6x + -0.6x Combine like terms: 0.4x + -0.6x = -0.2x 4.8 + -0.2x = 7.2 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 4.8 + -0.2x = 7.2 + 0.0 4.8 + -0.2x = 7.2 Add '-4.8' to each side of the equation. 4.8 + -4.8 + -0.2x = 7.2 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -0.2x = 7.2 + -4.8 -0.2x = 7.2 + -4.8 Combine like terms: 7.2 + -4.8 = 2.4 -0.2x = 2.4 Divide each side by '-0.2'. x = -12 Simplifying x = -12
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