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Simplifying x + 6 = 2(3x + -2) Reorder the terms: 6 + x = 2(3x + -2) Reorder the terms: 6 + x = 2(-2 + 3x) 6 + x = (-2 * 2 + 3x * 2) 6 + x = (-4 + 6x) Solving 6 + x = -4 + 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. 6 + x + -6x = -4 + 6x + -6x Combine like terms: x + -6x = -5x 6 + -5x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -5x = -4 + 0 6 + -5x = -4 Add '-6' to each side of the equation. 6 + -6 + -5x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = -4 + -6 -5x = -4 + -6 Combine like terms: -4 + -6 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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