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Simplifying 3(x + 6) + 2 = 5x + -8 Reorder the terms: 3(6 + x) + 2 = 5x + -8 (6 * 3 + x * 3) + 2 = 5x + -8 (18 + 3x) + 2 = 5x + -8 Reorder the terms: 18 + 2 + 3x = 5x + -8 Combine like terms: 18 + 2 = 20 20 + 3x = 5x + -8 Reorder the terms: 20 + 3x = -8 + 5x Solving 20 + 3x = -8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20 + 3x + -5x = -8 + 5x + -5x Combine like terms: 3x + -5x = -2x 20 + -2x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + -2x = -8 + 0 20 + -2x = -8 Add '-20' to each side of the equation. 20 + -20 + -2x = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = -8 + -20 -2x = -8 + -20 Combine like terms: -8 + -20 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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