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