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Simplifying -2x + -13 + 2x + 11 = -6x + -8 + 7x Reorder the terms: -13 + 11 + -2x + 2x = -6x + -8 + 7x Combine like terms: -13 + 11 = -2 -2 + -2x + 2x = -6x + -8 + 7x Combine like terms: -2x + 2x = 0 -2 + 0 = -6x + -8 + 7x -2 = -6x + -8 + 7x Reorder the terms: -2 = -8 + -6x + 7x Combine like terms: -6x + 7x = 1x -2 = -8 + 1x Solving -2 = -8 + 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. -2 + -1x = -8 + 1x + -1x Combine like terms: 1x + -1x = 0 -2 + -1x = -8 + 0 -2 + -1x = -8 Add '2' to each side of the equation. -2 + 2 + -1x = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -8 + 2 -1x = -8 + 2 Combine like terms: -8 + 2 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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