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Simplifying 0.4(3x + 8) = 0.2(x + 5) Reorder the terms: 0.4(8 + 3x) = 0.2(x + 5) (8 * 0.4 + 3x * 0.4) = 0.2(x + 5) (3.2 + 1.2x) = 0.2(x + 5) Reorder the terms: 3.2 + 1.2x = 0.2(5 + x) 3.2 + 1.2x = (5 * 0.2 + x * 0.2) 3.2 + 1.2x = (1 + 0.2x) Solving 3.2 + 1.2x = 1 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 3.2 + 1.2x + -0.2x = 1 + 0.2x + -0.2x Combine like terms: 1.2x + -0.2x = 1x 3.2 + 1x = 1 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 3.2 + 1x = 1 + 0.0 3.2 + 1x = 1 Add '-3.2' to each side of the equation. 3.2 + -3.2 + 1x = 1 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 1x = 1 + -3.2 1x = 1 + -3.2 Combine like terms: 1 + -3.2 = -2.2 1x = -2.2 Divide each side by '1'. x = -2.2 Simplifying x = -2.2
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