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Simplifying 3(x + 2) + -2 = 5x + 6 Reorder the terms: 3(2 + x) + -2 = 5x + 6 (2 * 3 + x * 3) + -2 = 5x + 6 (6 + 3x) + -2 = 5x + 6 Reorder the terms: 6 + -2 + 3x = 5x + 6 Combine like terms: 6 + -2 = 4 4 + 3x = 5x + 6 Reorder the terms: 4 + 3x = 6 + 5x Solving 4 + 3x = 6 + 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. 4 + 3x + -5x = 6 + 5x + -5x Combine like terms: 3x + -5x = -2x 4 + -2x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -2x = 6 + 0 4 + -2x = 6 Add '-4' to each side of the equation. 4 + -4 + -2x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 6 + -4 -2x = 6 + -4 Combine like terms: 6 + -4 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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