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Simplifying 6 = 2(x + 6) + -5x Reorder the terms: 6 = 2(6 + x) + -5x 6 = (6 * 2 + x * 2) + -5x 6 = (12 + 2x) + -5x Combine like terms: 2x + -5x = -3x 6 = 12 + -3x Solving 6 = 12 + -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. 6 + 3x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 3x = 12 + 0 6 + 3x = 12 Add '-6' to each side of the equation. 6 + -6 + 3x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 12 + -6 3x = 12 + -6 Combine like terms: 12 + -6 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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