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Simplifying 5x + 6x = -1(5 + x) + -1(x + -5) Combine like terms: 5x + 6x = 11x 11x = -1(5 + x) + -1(x + -5) 11x = (5 * -1 + x * -1) + -1(x + -5) 11x = (-5 + -1x) + -1(x + -5) Reorder the terms: 11x = -5 + -1x + -1(-5 + x) 11x = -5 + -1x + (-5 * -1 + x * -1) 11x = -5 + -1x + (5 + -1x) Reorder the terms: 11x = -5 + 5 + -1x + -1x Combine like terms: -5 + 5 = 0 11x = 0 + -1x + -1x 11x = -1x + -1x Combine like terms: -1x + -1x = -2x 11x = -2x Solving 11x = -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. 11x + 2x = -2x + 2x Combine like terms: 11x + 2x = 13x 13x = -2x + 2x Combine like terms: -2x + 2x = 0 13x = 0 Divide each side by '13'. x = 0 Simplifying x = 0
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