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Simplifying 0.7x + 0.8(10 + -1x) = 7.5 0.7x + (10 * 0.8 + -1x * 0.8) = 7.5 0.7x + (8 + -0.8x) = 7.5 Reorder the terms: 8 + 0.7x + -0.8x = 7.5 Combine like terms: 0.7x + -0.8x = -0.1x 8 + -0.1x = 7.5 Solving 8 + -0.1x = 7.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -0.1x = 7.5 + -8 Combine like terms: 8 + -8 = 0 0 + -0.1x = 7.5 + -8 -0.1x = 7.5 + -8 Combine like terms: 7.5 + -8 = -0.5 -0.1x = -0.5 Divide each side by '-0.1'. x = 5 Simplifying x = 5
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