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Simplifying (4x + 1500) + -1(2x + 1800) = 0 Reorder the terms: (1500 + 4x) + -1(2x + 1800) = 0 Remove parenthesis around (1500 + 4x) 1500 + 4x + -1(2x + 1800) = 0 Reorder the terms: 1500 + 4x + -1(1800 + 2x) = 0 1500 + 4x + (1800 * -1 + 2x * -1) = 0 1500 + 4x + (-1800 + -2x) = 0 Reorder the terms: 1500 + -1800 + 4x + -2x = 0 Combine like terms: 1500 + -1800 = -300 -300 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x -300 + 2x = 0 Solving -300 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '300' to each side of the equation. -300 + 300 + 2x = 0 + 300 Combine like terms: -300 + 300 = 0 0 + 2x = 0 + 300 2x = 0 + 300 Combine like terms: 0 + 300 = 300 2x = 300 Divide each side by '2'. x = 150 Simplifying x = 150
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