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Simplifying 7(2 + -2x + -7x) + 9(4x + 9) = 14 Combine like terms: -2x + -7x = -9x 7(2 + -9x) + 9(4x + 9) = 14 (2 * 7 + -9x * 7) + 9(4x + 9) = 14 (14 + -63x) + 9(4x + 9) = 14 Reorder the terms: 14 + -63x + 9(9 + 4x) = 14 14 + -63x + (9 * 9 + 4x * 9) = 14 14 + -63x + (81 + 36x) = 14 Reorder the terms: 14 + 81 + -63x + 36x = 14 Combine like terms: 14 + 81 = 95 95 + -63x + 36x = 14 Combine like terms: -63x + 36x = -27x 95 + -27x = 14 Solving 95 + -27x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + -27x = 14 + -95 Combine like terms: 95 + -95 = 0 0 + -27x = 14 + -95 -27x = 14 + -95 Combine like terms: 14 + -95 = -81 -27x = -81 Divide each side by '-27'. x = 3 Simplifying x = 3
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