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Simplifying 0.11x + 0.12(900 + -1x) = 51 0.11x + (900 * 0.12 + -1x * 0.12) = 51 0.11x + (108 + -0.12x) = 51 Reorder the terms: 108 + 0.11x + -0.12x = 51 Combine like terms: 0.11x + -0.12x = -0.01x 108 + -0.01x = 51 Solving 108 + -0.01x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-108' to each side of the equation. 108 + -108 + -0.01x = 51 + -108 Combine like terms: 108 + -108 = 0 0 + -0.01x = 51 + -108 -0.01x = 51 + -108 Combine like terms: 51 + -108 = -57 -0.01x = -57 Divide each side by '-0.01'. x = 5700 Simplifying x = 5700
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