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Simplifying (200 + -2x) + 9(200 + -1(200 + -2x)) + x = 2400 Remove parenthesis around (200 + -2x) 200 + -2x + 9(200 + -1(200 + -2x)) + x = 2400 200 + -2x + 9(200 + (200 * -1 + -2x * -1)) + x = 2400 200 + -2x + 9(200 + (-200 + 2x)) + x = 2400 Combine like terms: 200 + -200 = 0 200 + -2x + 9(0 + 2x) + x = 2400 200 + -2x + 9(2x) + x = 2400 Remove parenthesis around (2x) 200 + -2x + 9 * 2x + x = 2400 Multiply 9 * 2 200 + -2x + 18x + x = 2400 Combine like terms: -2x + 18x = 16x 200 + 16x + x = 2400 Combine like terms: 16x + x = 17x 200 + 17x = 2400 Solving 200 + 17x = 2400 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + 17x = 2400 + -200 Combine like terms: 200 + -200 = 0 0 + 17x = 2400 + -200 17x = 2400 + -200 Combine like terms: 2400 + -200 = 2200 17x = 2200 Divide each side by '17'. x = 129.4117647 Simplifying x = 129.4117647
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