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Simplifying 0.4(3.2x + 2) + -1x = 2x + 18 Reorder the terms: 0.4(2 + 3.2x) + -1x = 2x + 18 (2 * 0.4 + 3.2x * 0.4) + -1x = 2x + 18 (0.8 + 1.28x) + -1x = 2x + 18 Combine like terms: 1.28x + -1x = 0.28x 0.8 + 0.28x = 2x + 18 Reorder the terms: 0.8 + 0.28x = 18 + 2x Solving 0.8 + 0.28x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 0.8 + 0.28x + -2x = 18 + 2x + -2x Combine like terms: 0.28x + -2x = -1.72x 0.8 + -1.72x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 0.8 + -1.72x = 18 + 0 0.8 + -1.72x = 18 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -1.72x = 18 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -1.72x = 18 + -0.8 -1.72x = 18 + -0.8 Combine like terms: 18 + -0.8 = 17.2 -1.72x = 17.2 Divide each side by '-1.72'. x = -10 Simplifying x = -10
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