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Simplifying 5x + 2(7x + -7) = 100 Reorder the terms: 5x + 2(-7 + 7x) = 100 5x + (-7 * 2 + 7x * 2) = 100 5x + (-14 + 14x) = 100 Reorder the terms: -14 + 5x + 14x = 100 Combine like terms: 5x + 14x = 19x -14 + 19x = 100 Solving -14 + 19x = 100 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 + 19x = 100 + 14 Combine like terms: -14 + 14 = 0 0 + 19x = 100 + 14 19x = 100 + 14 Combine like terms: 100 + 14 = 114 19x = 114 Divide each side by '19'. x = 6 Simplifying x = 6
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