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Simplifying 0.2(4x + 12) = x Reorder the terms: 0.2(12 + 4x) = x (12 * 0.2 + 4x * 0.2) = x (2.4 + 0.8x) = x Solving 2.4 + 0.8x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2.4 + 0.8x + -1x = x + -1x Combine like terms: 0.8x + -1x = -0.2x 2.4 + -0.2x = x + -1x Combine like terms: x + -1x = 0 2.4 + -0.2x = 0 Add '-2.4' to each side of the equation. 2.4 + -2.4 + -0.2x = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -0.2x = 0 + -2.4 -0.2x = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 -0.2x = -2.4 Divide each side by '-0.2'. x = 12 Simplifying x = 12
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