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Simplifying 5x + 2(7x + 4) = 122 Reorder the terms: 5x + 2(4 + 7x) = 122 5x + (4 * 2 + 7x * 2) = 122 5x + (8 + 14x) = 122 Reorder the terms: 8 + 5x + 14x = 122 Combine like terms: 5x + 14x = 19x 8 + 19x = 122 Solving 8 + 19x = 122 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 19x = 122 + -8 Combine like terms: 8 + -8 = 0 0 + 19x = 122 + -8 19x = 122 + -8 Combine like terms: 122 + -8 = 114 19x = 114 Divide each side by '19'. x = 6 Simplifying x = 6
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