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Simplifying 2160 + x + 0.05(2160 + 2x) = 2160 + 2x 2160 + x + (2160 * 0.05 + 2x * 0.05) = 2160 + 2x 2160 + x + (108 + 0.1x) = 2160 + 2x Reorder the terms: 2160 + 108 + x + 0.1x = 2160 + 2x Combine like terms: 2160 + 108 = 2268 2268 + x + 0.1x = 2160 + 2x Combine like terms: x + 0.1x = 1.1x 2268 + 1.1x = 2160 + 2x Solving 2268 + 1.1x = 2160 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2268 + 1.1x + -2x = 2160 + 2x + -2x Combine like terms: 1.1x + -2x = -0.9x 2268 + -0.9x = 2160 + 2x + -2x Combine like terms: 2x + -2x = 0 2268 + -0.9x = 2160 + 0 2268 + -0.9x = 2160 Add '-2268' to each side of the equation. 2268 + -2268 + -0.9x = 2160 + -2268 Combine like terms: 2268 + -2268 = 0 0 + -0.9x = 2160 + -2268 -0.9x = 2160 + -2268 Combine like terms: 2160 + -2268 = -108 -0.9x = -108 Divide each side by '-0.9'. x = 120 Simplifying x = 120
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