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Simplifying 3x + -2 + 6 = 6x + -2 + 12 Reorder the terms: -2 + 6 + 3x = 6x + -2 + 12 Combine like terms: -2 + 6 = 4 4 + 3x = 6x + -2 + 12 Reorder the terms: 4 + 3x = -2 + 12 + 6x Combine like terms: -2 + 12 = 10 4 + 3x = 10 + 6x Solving 4 + 3x = 10 + 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. 4 + 3x + -6x = 10 + 6x + -6x Combine like terms: 3x + -6x = -3x 4 + -3x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -3x = 10 + 0 4 + -3x = 10 Add '-4' to each side of the equation. 4 + -4 + -3x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 10 + -4 -3x = 10 + -4 Combine like terms: 10 + -4 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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