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Simplifying 77 = 5x + 2(7x + -9) Reorder the terms: 77 = 5x + 2(-9 + 7x) 77 = 5x + (-9 * 2 + 7x * 2) 77 = 5x + (-18 + 14x) Reorder the terms: 77 = -18 + 5x + 14x Combine like terms: 5x + 14x = 19x 77 = -18 + 19x Solving 77 = -18 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 77 + -19x = -18 + 19x + -19x Combine like terms: 19x + -19x = 0 77 + -19x = -18 + 0 77 + -19x = -18 Add '-77' to each side of the equation. 77 + -77 + -19x = -18 + -77 Combine like terms: 77 + -77 = 0 0 + -19x = -18 + -77 -19x = -18 + -77 Combine like terms: -18 + -77 = -95 -19x = -95 Divide each side by '-19'. x = 5 Simplifying x = 5
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