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Simplifying 5x + 7(2x + 9) = 177 Reorder the terms: 5x + 7(9 + 2x) = 177 5x + (9 * 7 + 2x * 7) = 177 5x + (63 + 14x) = 177 Reorder the terms: 63 + 5x + 14x = 177 Combine like terms: 5x + 14x = 19x 63 + 19x = 177 Solving 63 + 19x = 177 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 19x = 177 + -63 Combine like terms: 63 + -63 = 0 0 + 19x = 177 + -63 19x = 177 + -63 Combine like terms: 177 + -63 = 114 19x = 114 Divide each side by '19'. x = 6 Simplifying x = 6
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