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Simplifying 0.065(x + 2000) = 0.07x + 0.06(2000) Reorder the terms: 0.065(2000 + x) = 0.07x + 0.06(2000) (2000 * 0.065 + x * 0.065) = 0.07x + 0.06(2000) (130 + 0.065x) = 0.07x + 0.06(2000) Multiply 0.06 * 2000 130 + 0.065x = 0.07x + 120 Reorder the terms: 130 + 0.065x = 120 + 0.07x Solving 130 + 0.065x = 120 + 0.07x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.07x' to each side of the equation. 130 + 0.065x + -0.07x = 120 + 0.07x + -0.07x Combine like terms: 0.065x + -0.07x = -0.005x 130 + -0.005x = 120 + 0.07x + -0.07x Combine like terms: 0.07x + -0.07x = 0.00 130 + -0.005x = 120 + 0.00 130 + -0.005x = 120 Add '-130' to each side of the equation. 130 + -130 + -0.005x = 120 + -130 Combine like terms: 130 + -130 = 0 0 + -0.005x = 120 + -130 -0.005x = 120 + -130 Combine like terms: 120 + -130 = -10 -0.005x = -10 Divide each side by '-0.005'. x = 2000 Simplifying x = 2000
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