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Simplifying 0.80x + 0.05(14 + -1x) = 0.10(22) 0.80x + (14 * 0.05 + -1x * 0.05) = 0.10(22) 0.80x + (0.7 + -0.05x) = 0.10(22) Reorder the terms: 0.7 + 0.80x + -0.05x = 0.10(22) Combine like terms: 0.80x + -0.05x = 0.75x 0.7 + 0.75x = 0.10(22) Multiply 0.10 * 22 0.7 + 0.75x = 2.2 Solving 0.7 + 0.75x = 2.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + 0.75x = 2.2 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.75x = 2.2 + -0.7 0.75x = 2.2 + -0.7 Combine like terms: 2.2 + -0.7 = 1.5 0.75x = 1.5 Divide each side by '0.75'. x = 2 Simplifying x = 2
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