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Simplifying 3(x + 4) + 2x = 2(x + 6) + 2 Reorder the terms: 3(4 + x) + 2x = 2(x + 6) + 2 (4 * 3 + x * 3) + 2x = 2(x + 6) + 2 (12 + 3x) + 2x = 2(x + 6) + 2 Combine like terms: 3x + 2x = 5x 12 + 5x = 2(x + 6) + 2 Reorder the terms: 12 + 5x = 2(6 + x) + 2 12 + 5x = (6 * 2 + x * 2) + 2 12 + 5x = (12 + 2x) + 2 Reorder the terms: 12 + 5x = 12 + 2 + 2x Combine like terms: 12 + 2 = 14 12 + 5x = 14 + 2x Solving 12 + 5x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 5x + -2x = 14 + 2x + -2x Combine like terms: 5x + -2x = 3x 12 + 3x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 3x = 14 + 0 12 + 3x = 14 Add '-12' to each side of the equation. 12 + -12 + 3x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 14 + -12 3x = 14 + -12 Combine like terms: 14 + -12 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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