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Simplifying 0.90x + 0.30(90) = 0.80(x + 90) Multiply 0.30 * 90 0.90x + 27 = 0.80(x + 90) Reorder the terms: 27 + 0.90x = 0.80(x + 90) Reorder the terms: 27 + 0.90x = 0.80(90 + x) 27 + 0.90x = (90 * 0.80 + x * 0.80) 27 + 0.90x = (72 + 0.80x) Solving 27 + 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. 27 + 0.90x + -0.80x = 72 + 0.80x + -0.80x Combine like terms: 0.90x + -0.80x = 0.1x 27 + 0.1x = 72 + 0.80x + -0.80x Combine like terms: 0.80x + -0.80x = 0.00 27 + 0.1x = 72 + 0.00 27 + 0.1x = 72 Add '-27' to each side of the equation. 27 + -27 + 0.1x = 72 + -27 Combine like terms: 27 + -27 = 0 0 + 0.1x = 72 + -27 0.1x = 72 + -27 Combine like terms: 72 + -27 = 45 0.1x = 45 Divide each side by '0.1'. x = 450 Simplifying x = 450
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