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Simplifying -3x + -2x + x + -7 = 6x + 13 Reorder the terms: -7 + -3x + -2x + x = 6x + 13 Combine like terms: -3x + -2x = -5x -7 + -5x + x = 6x + 13 Combine like terms: -5x + x = -4x -7 + -4x = 6x + 13 Reorder the terms: -7 + -4x = 13 + 6x Solving -7 + -4x = 13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + -4x + -6x = 13 + 6x + -6x Combine like terms: -4x + -6x = -10x -7 + -10x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -10x = 13 + 0 -7 + -10x = 13 Add '7' to each side of the equation. -7 + 7 + -10x = 13 + 7 Combine like terms: -7 + 7 = 0 0 + -10x = 13 + 7 -10x = 13 + 7 Combine like terms: 13 + 7 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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