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Simplifying 0.09x + 0.1(900 + -1x) = 83 0.09x + (900 * 0.1 + -1x * 0.1) = 83 0.09x + (90 + -0.1x) = 83 Reorder the terms: 90 + 0.09x + -0.1x = 83 Combine like terms: 0.09x + -0.1x = -0.01x 90 + -0.01x = 83 Solving 90 + -0.01x = 83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + -0.01x = 83 + -90 Combine like terms: 90 + -90 = 0 0 + -0.01x = 83 + -90 -0.01x = 83 + -90 Combine like terms: 83 + -90 = -7 -0.01x = -7 Divide each side by '-0.01'. x = 700 Simplifying x = 700
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