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Simplifying 5(x + 200 + -2(x + -3)) = 8500 Reorder the terms: 5(x + 200 + -2(-3 + x)) = 8500 5(x + 200 + (-3 * -2 + x * -2)) = 8500 5(x + 200 + (6 + -2x)) = 8500 Reorder the terms: 5(200 + 6 + x + -2x) = 8500 Combine like terms: 200 + 6 = 206 5(206 + x + -2x) = 8500 Combine like terms: x + -2x = -1x 5(206 + -1x) = 8500 (206 * 5 + -1x * 5) = 8500 (1030 + -5x) = 8500 Solving 1030 + -5x = 8500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1030' to each side of the equation. 1030 + -1030 + -5x = 8500 + -1030 Combine like terms: 1030 + -1030 = 0 0 + -5x = 8500 + -1030 -5x = 8500 + -1030 Combine like terms: 8500 + -1030 = 7470 -5x = 7470 Divide each side by '-5'. x = -1494 Simplifying x = -1494
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