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Simplifying 200 = 1500 + -1(8x + 100) Reorder the terms: 200 = 1500 + -1(100 + 8x) 200 = 1500 + (100 * -1 + 8x * -1) 200 = 1500 + (-100 + -8x) Combine like terms: 1500 + -100 = 1400 200 = 1400 + -8x Solving 200 = 1400 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 200 + 8x = 1400 + -8x + 8x Combine like terms: -8x + 8x = 0 200 + 8x = 1400 + 0 200 + 8x = 1400 Add '-200' to each side of the equation. 200 + -200 + 8x = 1400 + -200 Combine like terms: 200 + -200 = 0 0 + 8x = 1400 + -200 8x = 1400 + -200 Combine like terms: 1400 + -200 = 1200 8x = 1200 Divide each side by '8'. x = 150 Simplifying x = 150
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