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Simplifying x + -6 = -7 + (3x + -5) Reorder the terms: -6 + x = -7 + (3x + -5) Reorder the terms: -6 + x = -7 + (-5 + 3x) Remove parenthesis around (-5 + 3x) -6 + x = -7 + -5 + 3x Combine like terms: -7 + -5 = -12 -6 + x = -12 + 3x Solving -6 + x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + x + -3x = -12 + 3x + -3x Combine like terms: x + -3x = -2x -6 + -2x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -2x = -12 + 0 -6 + -2x = -12 Add '6' to each side of the equation. -6 + 6 + -2x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -12 + 6 -2x = -12 + 6 Combine like terms: -12 + 6 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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