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Simplifying 1000 + 500 + x = 1.6x Combine like terms: 1000 + 500 = 1500 1500 + x = 1.6x Solving 1500 + x = 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. 1500 + x + -1.6x = 1.6x + -1.6x Combine like terms: x + -1.6x = -0.6x 1500 + -0.6x = 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 1500 + -0.6x = 0.0 Add '-1500' to each side of the equation. 1500 + -1500 + -0.6x = 0.0 + -1500 Combine like terms: 1500 + -1500 = 0 0 + -0.6x = 0.0 + -1500 -0.6x = 0.0 + -1500 Combine like terms: 0.0 + -1500 = -1500 -0.6x = -1500 Divide each side by '-0.6'. x = 2500 Simplifying x = 2500
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