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Simplifying 0.065(x + 1000) = 0.07x + 0.06(1000) Reorder the terms: 0.065(1000 + x) = 0.07x + 0.06(1000) (1000 * 0.065 + x * 0.065) = 0.07x + 0.06(1000) (65 + 0.065x) = 0.07x + 0.06(1000) Multiply 0.06 * 1000 65 + 0.065x = 0.07x + 60 Reorder the terms: 65 + 0.065x = 60 + 0.07x Solving 65 + 0.065x = 60 + 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. 65 + 0.065x + -0.07x = 60 + 0.07x + -0.07x Combine like terms: 0.065x + -0.07x = -0.005x 65 + -0.005x = 60 + 0.07x + -0.07x Combine like terms: 0.07x + -0.07x = 0.00 65 + -0.005x = 60 + 0.00 65 + -0.005x = 60 Add '-65' to each side of the equation. 65 + -65 + -0.005x = 60 + -65 Combine like terms: 65 + -65 = 0 0 + -0.005x = 60 + -65 -0.005x = 60 + -65 Combine like terms: 60 + -65 = -5 -0.005x = -5 Divide each side by '-0.005'. x = 1000 Simplifying x = 1000
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