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Simplifying 5x + 2(5x + -7) = 106 Reorder the terms: 5x + 2(-7 + 5x) = 106 5x + (-7 * 2 + 5x * 2) = 106 5x + (-14 + 10x) = 106 Reorder the terms: -14 + 5x + 10x = 106 Combine like terms: 5x + 10x = 15x -14 + 15x = 106 Solving -14 + 15x = 106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 15x = 106 + 14 Combine like terms: -14 + 14 = 0 0 + 15x = 106 + 14 15x = 106 + 14 Combine like terms: 106 + 14 = 120 15x = 120 Divide each side by '15'. x = 8 Simplifying x = 8
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