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Simplifying 0.4(9 + -2x) = 0.8(3x + 4) (9 * 0.4 + -2x * 0.4) = 0.8(3x + 4) (3.6 + -0.8x) = 0.8(3x + 4) Reorder the terms: 3.6 + -0.8x = 0.8(4 + 3x) 3.6 + -0.8x = (4 * 0.8 + 3x * 0.8) 3.6 + -0.8x = (3.2 + 2.4x) Solving 3.6 + -0.8x = 3.2 + 2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4x' to each side of the equation. 3.6 + -0.8x + -2.4x = 3.2 + 2.4x + -2.4x Combine like terms: -0.8x + -2.4x = -3.2x 3.6 + -3.2x = 3.2 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 3.6 + -3.2x = 3.2 + 0.0 3.6 + -3.2x = 3.2 Add '-3.6' to each side of the equation. 3.6 + -3.6 + -3.2x = 3.2 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + -3.2x = 3.2 + -3.6 -3.2x = 3.2 + -3.6 Combine like terms: 3.2 + -3.6 = -0.4 -3.2x = -0.4 Divide each side by '-3.2'. x = 0.125 Simplifying x = 0.125
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