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Simplifying 0.90x + 0.5(6 + -1x) = 0.10(71) 0.90x + (6 * 0.5 + -1x * 0.5) = 0.10(71) 0.90x + (3 + -0.5x) = 0.10(71) Reorder the terms: 3 + 0.90x + -0.5x = 0.10(71) Combine like terms: 0.90x + -0.5x = 0.4x 3 + 0.4x = 0.10(71) Multiply 0.10 * 71 3 + 0.4x = 7.1 Solving 3 + 0.4x = 7.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 0.4x = 7.1 + -3 Combine like terms: 3 + -3 = 0 0 + 0.4x = 7.1 + -3 0.4x = 7.1 + -3 Combine like terms: 7.1 + -3 = 4.1 0.4x = 4.1 Divide each side by '0.4'. x = 10.25 Simplifying x = 10.25
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