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Simplifying -2x + -7 + x = 6x + -5 + -5x Reorder the terms: -7 + -2x + x = 6x + -5 + -5x Combine like terms: -2x + x = -1x -7 + -1x = 6x + -5 + -5x Reorder the terms: -7 + -1x = -5 + 6x + -5x Combine like terms: 6x + -5x = 1x -7 + -1x = -5 + 1x Solving -7 + -1x = -5 + 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. -7 + -1x + -1x = -5 + 1x + -1x Combine like terms: -1x + -1x = -2x -7 + -2x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 -7 + -2x = -5 + 0 -7 + -2x = -5 Add '7' to each side of the equation. -7 + 7 + -2x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -5 + 7 -2x = -5 + 7 Combine like terms: -5 + 7 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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