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Simplifying 2(7 + -7x + -9x) + 9(2x + 7) = 7 Combine like terms: -7x + -9x = -16x 2(7 + -16x) + 9(2x + 7) = 7 (7 * 2 + -16x * 2) + 9(2x + 7) = 7 (14 + -32x) + 9(2x + 7) = 7 Reorder the terms: 14 + -32x + 9(7 + 2x) = 7 14 + -32x + (7 * 9 + 2x * 9) = 7 14 + -32x + (63 + 18x) = 7 Reorder the terms: 14 + 63 + -32x + 18x = 7 Combine like terms: 14 + 63 = 77 77 + -32x + 18x = 7 Combine like terms: -32x + 18x = -14x 77 + -14x = 7 Solving 77 + -14x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + -14x = 7 + -77 Combine like terms: 77 + -77 = 0 0 + -14x = 7 + -77 -14x = 7 + -77 Combine like terms: 7 + -77 = -70 -14x = -70 Divide each side by '-14'. x = 5 Simplifying x = 5
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