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Simplifying 0.065(x + -2000) = 0.04x + 70 Reorder the terms: 0.065(-2000 + x) = 0.04x + 70 (-2000 * 0.065 + x * 0.065) = 0.04x + 70 (-130 + 0.065x) = 0.04x + 70 Reorder the terms: -130 + 0.065x = 70 + 0.04x Solving -130 + 0.065x = 70 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. -130 + 0.065x + -0.04x = 70 + 0.04x + -0.04x Combine like terms: 0.065x + -0.04x = 0.025x -130 + 0.025x = 70 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -130 + 0.025x = 70 + 0.00 -130 + 0.025x = 70 Add '130' to each side of the equation. -130 + 130 + 0.025x = 70 + 130 Combine like terms: -130 + 130 = 0 0 + 0.025x = 70 + 130 0.025x = 70 + 130 Combine like terms: 70 + 130 = 200 0.025x = 200 Divide each side by '0.025'. x = 8000 Simplifying x = 8000
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