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Simplifying -13 + -5x + 2x + 2x = 2x + 2 Combine like terms: -5x + 2x = -3x -13 + -3x + 2x = 2x + 2 Combine like terms: -3x + 2x = -1x -13 + -1x = 2x + 2 Reorder the terms: -13 + -1x = 2 + 2x Solving -13 + -1x = 2 + 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. -13 + -1x + -2x = 2 + 2x + -2x Combine like terms: -1x + -2x = -3x -13 + -3x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + -3x = 2 + 0 -13 + -3x = 2 Add '13' to each side of the equation. -13 + 13 + -3x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + -3x = 2 + 13 -3x = 2 + 13 Combine like terms: 2 + 13 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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