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Simplifying 0.4(x + 12) = 1.2(x + 4) Reorder the terms: 0.4(12 + x) = 1.2(x + 4) (12 * 0.4 + x * 0.4) = 1.2(x + 4) (4.8 + 0.4x) = 1.2(x + 4) Reorder the terms: 4.8 + 0.4x = 1.2(4 + x) 4.8 + 0.4x = (4 * 1.2 + x * 1.2) 4.8 + 0.4x = (4.8 + 1.2x) Add '-4.8' to each side of the equation. 4.8 + -4.8 + 0.4x = 4.8 + -4.8 + 1.2x Combine like terms: 4.8 + -4.8 = 0.0 0.0 + 0.4x = 4.8 + -4.8 + 1.2x 0.4x = 4.8 + -4.8 + 1.2x Combine like terms: 4.8 + -4.8 = 0.0 0.4x = 0.0 + 1.2x 0.4x = 1.2x Solving 0.4x = 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 0.4x + -1.2x = 1.2x + -1.2x Combine like terms: 0.4x + -1.2x = -0.8x -0.8x = 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -0.8x = 0.0 Divide each side by '-0.8'. x = 0 Simplifying x = 0
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