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Simplifying 0.2(5 + 2x) = 4(0.3x + 0.9) (5 * 0.2 + 2x * 0.2) = 4(0.3x + 0.9) (1 + 0.4x) = 4(0.3x + 0.9) Reorder the terms: 1 + 0.4x = 4(0.9 + 0.3x) 1 + 0.4x = (0.9 * 4 + 0.3x * 4) 1 + 0.4x = (3.6 + 1.2x) Solving 1 + 0.4x = 3.6 + 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. 1 + 0.4x + -1.2x = 3.6 + 1.2x + -1.2x Combine like terms: 0.4x + -1.2x = -0.8x 1 + -0.8x = 3.6 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 1 + -0.8x = 3.6 + 0.0 1 + -0.8x = 3.6 Add '-1' to each side of the equation. 1 + -1 + -0.8x = 3.6 + -1 Combine like terms: 1 + -1 = 0 0 + -0.8x = 3.6 + -1 -0.8x = 3.6 + -1 Combine like terms: 3.6 + -1 = 2.6 -0.8x = 2.6 Divide each side by '-0.8'. x = -3.25 Simplifying x = -3.25
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