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Simplifying 11x + -100 = -2x + 160 Reorder the terms: -100 + 11x = -2x + 160 Reorder the terms: -100 + 11x = 160 + -2x Solving -100 + 11x = 160 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -100 + 11x + 2x = 160 + -2x + 2x Combine like terms: 11x + 2x = 13x -100 + 13x = 160 + -2x + 2x Combine like terms: -2x + 2x = 0 -100 + 13x = 160 + 0 -100 + 13x = 160 Add '100' to each side of the equation. -100 + 100 + 13x = 160 + 100 Combine like terms: -100 + 100 = 0 0 + 13x = 160 + 100 13x = 160 + 100 Combine like terms: 160 + 100 = 260 13x = 260 Divide each side by '13'. x = 20 Simplifying x = 20
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