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Simplifying 0.90x + 0.10(90) = 0.80(x + 90) Multiply 0.10 * 90 0.90x + 9 = 0.80(x + 90) Reorder the terms: 9 + 0.90x = 0.80(x + 90) Reorder the terms: 9 + 0.90x = 0.80(90 + x) 9 + 0.90x = (90 * 0.80 + x * 0.80) 9 + 0.90x = (72 + 0.80x) Solving 9 + 0.90x = 72 + 0.80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.80x' to each side of the equation. 9 + 0.90x + -0.80x = 72 + 0.80x + -0.80x Combine like terms: 0.90x + -0.80x = 0.1x 9 + 0.1x = 72 + 0.80x + -0.80x Combine like terms: 0.80x + -0.80x = 0.00 9 + 0.1x = 72 + 0.00 9 + 0.1x = 72 Add '-9' to each side of the equation. 9 + -9 + 0.1x = 72 + -9 Combine like terms: 9 + -9 = 0 0 + 0.1x = 72 + -9 0.1x = 72 + -9 Combine like terms: 72 + -9 = 63 0.1x = 63 Divide each side by '0.1'. x = 630 Simplifying x = 630
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