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Simplifying 0.05(2000 + 2x) = 0.04(2500 + -6x) (2000 * 0.05 + 2x * 0.05) = 0.04(2500 + -6x) (100 + 0.1x) = 0.04(2500 + -6x) 100 + 0.1x = (2500 * 0.04 + -6x * 0.04) 100 + 0.1x = (100 + -0.24x) Add '-100' to each side of the equation. 100 + -100 + 0.1x = 100 + -100 + -0.24x Combine like terms: 100 + -100 = 0 0 + 0.1x = 100 + -100 + -0.24x 0.1x = 100 + -100 + -0.24x Combine like terms: 100 + -100 = 0 0.1x = 0 + -0.24x 0.1x = -0.24x Solving 0.1x = -0.24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.24x' to each side of the equation. 0.1x + 0.24x = -0.24x + 0.24x Combine like terms: 0.1x + 0.24x = 0.34x 0.34x = -0.24x + 0.24x Combine like terms: -0.24x + 0.24x = 0.00 0.34x = 0.00 Divide each side by '0.34'. x = 0 Simplifying x = 0
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