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Simplifying 3x + 4 + -2x = 8 + 2x + -6 Reorder the terms: 4 + 3x + -2x = 8 + 2x + -6 Combine like terms: 3x + -2x = 1x 4 + 1x = 8 + 2x + -6 Reorder the terms: 4 + 1x = 8 + -6 + 2x Combine like terms: 8 + -6 = 2 4 + 1x = 2 + 2x Solving 4 + 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. 4 + 1x + -2x = 2 + 2x + -2x Combine like terms: 1x + -2x = -1x 4 + -1x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -1x = 2 + 0 4 + -1x = 2 Add '-4' to each side of the equation. 4 + -4 + -1x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 2 + -4 -1x = 2 + -4 Combine like terms: 2 + -4 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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