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Simplifying 5(x + 12) = 6(x + 14) + 2 Reorder the terms: 5(12 + x) = 6(x + 14) + 2 (12 * 5 + x * 5) = 6(x + 14) + 2 (60 + 5x) = 6(x + 14) + 2 Reorder the terms: 60 + 5x = 6(14 + x) + 2 60 + 5x = (14 * 6 + x * 6) + 2 60 + 5x = (84 + 6x) + 2 Reorder the terms: 60 + 5x = 84 + 2 + 6x Combine like terms: 84 + 2 = 86 60 + 5x = 86 + 6x Solving 60 + 5x = 86 + 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. 60 + 5x + -6x = 86 + 6x + -6x Combine like terms: 5x + -6x = -1x 60 + -1x = 86 + 6x + -6x Combine like terms: 6x + -6x = 0 60 + -1x = 86 + 0 60 + -1x = 86 Add '-60' to each side of the equation. 60 + -60 + -1x = 86 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 86 + -60 -1x = 86 + -60 Combine like terms: 86 + -60 = 26 -1x = 26 Divide each side by '-1'. x = -26 Simplifying x = -26
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