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Simplifying 3x + 2 + -6x = 8 + 3(x + 2) Reorder the terms: 2 + 3x + -6x = 8 + 3(x + 2) Combine like terms: 3x + -6x = -3x 2 + -3x = 8 + 3(x + 2) Reorder the terms: 2 + -3x = 8 + 3(2 + x) 2 + -3x = 8 + (2 * 3 + x * 3) 2 + -3x = 8 + (6 + 3x) Combine like terms: 8 + 6 = 14 2 + -3x = 14 + 3x Solving 2 + -3x = 14 + 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. 2 + -3x + -3x = 14 + 3x + -3x Combine like terms: -3x + -3x = -6x 2 + -6x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -6x = 14 + 0 2 + -6x = 14 Add '-2' to each side of the equation. 2 + -2 + -6x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = 14 + -2 -6x = 14 + -2 Combine like terms: 14 + -2 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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