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Simplifying 1000 = 3x + -1(100 + 2x) 1000 = 3x + (100 * -1 + 2x * -1) 1000 = 3x + (-100 + -2x) Reorder the terms: 1000 = -100 + 3x + -2x Combine like terms: 3x + -2x = 1x 1000 = -100 + 1x Solving 1000 = -100 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1000 + -1x = -100 + 1x + -1x Combine like terms: 1x + -1x = 0 1000 + -1x = -100 + 0 1000 + -1x = -100 Add '-1000' to each side of the equation. 1000 + -1000 + -1x = -100 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -1x = -100 + -1000 -1x = -100 + -1000 Combine like terms: -100 + -1000 = -1100 -1x = -1100 Divide each side by '-1'. x = 1100 Simplifying x = 1100
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