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Simplifying x + 4 = 3x + -2 + -6 Reorder the terms: 4 + x = 3x + -2 + -6 Reorder the terms: 4 + x = -2 + -6 + 3x Combine like terms: -2 + -6 = -8 4 + x = -8 + 3x Solving 4 + x = -8 + 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. 4 + x + -3x = -8 + 3x + -3x Combine like terms: x + -3x = -2x 4 + -2x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -2x = -8 + 0 4 + -2x = -8 Add '-4' to each side of the equation. 4 + -4 + -2x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -8 + -4 -2x = -8 + -4 Combine like terms: -8 + -4 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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