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Simplifying 0.9x + 0.2 * 90 = 0.8(90 + x) Multiply 0.2 * 90 0.9x + 18 = 0.8(90 + x) Reorder the terms: 18 + 0.9x = 0.8(90 + x) 18 + 0.9x = (90 * 0.8 + x * 0.8) 18 + 0.9x = (72 + 0.8x) Solving 18 + 0.9x = 72 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 18 + 0.9x + -0.8x = 72 + 0.8x + -0.8x Combine like terms: 0.9x + -0.8x = 0.1x 18 + 0.1x = 72 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 18 + 0.1x = 72 + 0.0 18 + 0.1x = 72 Add '-18' to each side of the equation. 18 + -18 + 0.1x = 72 + -18 Combine like terms: 18 + -18 = 0 0 + 0.1x = 72 + -18 0.1x = 72 + -18 Combine like terms: 72 + -18 = 54 0.1x = 54 Divide each side by '0.1'. x = 540 Simplifying x = 540
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