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Simplifying 45 + x = 0.1(900 + x) 45 + x = (900 * 0.1 + x * 0.1) 45 + x = (90 + 0.1x) Solving 45 + x = 90 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 45 + x + -0.1x = 90 + 0.1x + -0.1x Combine like terms: x + -0.1x = 0.9x 45 + 0.9x = 90 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 45 + 0.9x = 90 + 0.0 45 + 0.9x = 90 Add '-45' to each side of the equation. 45 + -45 + 0.9x = 90 + -45 Combine like terms: 45 + -45 = 0 0 + 0.9x = 90 + -45 0.9x = 90 + -45 Combine like terms: 90 + -45 = 45 0.9x = 45 Divide each side by '0.9'. x = 50 Simplifying x = 50
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