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Simplifying 6x + -1(4x + -1500) = 2400 Reorder the terms: 6x + -1(-1500 + 4x) = 2400 6x + (-1500 * -1 + 4x * -1) = 2400 6x + (1500 + -4x) = 2400 Reorder the terms: 1500 + 6x + -4x = 2400 Combine like terms: 6x + -4x = 2x 1500 + 2x = 2400 Solving 1500 + 2x = 2400 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1500' to each side of the equation. 1500 + -1500 + 2x = 2400 + -1500 Combine like terms: 1500 + -1500 = 0 0 + 2x = 2400 + -1500 2x = 2400 + -1500 Combine like terms: 2400 + -1500 = 900 2x = 900 Divide each side by '2'. x = 450 Simplifying x = 450
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