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Simplifying 0.2x + 0.8(20 + -1x) = 7 0.2x + (20 * 0.8 + -1x * 0.8) = 7 0.2x + (16 + -0.8x) = 7 Reorder the terms: 16 + 0.2x + -0.8x = 7 Combine like terms: 0.2x + -0.8x = -0.6x 16 + -0.6x = 7 Solving 16 + -0.6x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -0.6x = 7 + -16 Combine like terms: 16 + -16 = 0 0 + -0.6x = 7 + -16 -0.6x = 7 + -16 Combine like terms: 7 + -16 = -9 -0.6x = -9 Divide each side by '-0.6'. x = 15 Simplifying x = 15
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