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Simplifying 0.4(2 + -1x) = 0.2(x + 7) (2 * 0.4 + -1x * 0.4) = 0.2(x + 7) (0.8 + -0.4x) = 0.2(x + 7) Reorder the terms: 0.8 + -0.4x = 0.2(7 + x) 0.8 + -0.4x = (7 * 0.2 + x * 0.2) 0.8 + -0.4x = (1.4 + 0.2x) Solving 0.8 + -0.4x = 1.4 + 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. 0.8 + -0.4x + -0.2x = 1.4 + 0.2x + -0.2x Combine like terms: -0.4x + -0.2x = -0.6x 0.8 + -0.6x = 1.4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.8 + -0.6x = 1.4 + 0.0 0.8 + -0.6x = 1.4 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -0.6x = 1.4 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.6x = 1.4 + -0.8 -0.6x = 1.4 + -0.8 Combine like terms: 1.4 + -0.8 = 0.6 -0.6x = 0.6 Divide each side by '-0.6'. x = -1 Simplifying x = -1
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