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Simplifying 4(x + -9) + 7(2x + 9) = 17(x + 2) + 2 Reorder the terms: 4(-9 + x) + 7(2x + 9) = 17(x + 2) + 2 (-9 * 4 + x * 4) + 7(2x + 9) = 17(x + 2) + 2 (-36 + 4x) + 7(2x + 9) = 17(x + 2) + 2 Reorder the terms: -36 + 4x + 7(9 + 2x) = 17(x + 2) + 2 -36 + 4x + (9 * 7 + 2x * 7) = 17(x + 2) + 2 -36 + 4x + (63 + 14x) = 17(x + 2) + 2 Reorder the terms: -36 + 63 + 4x + 14x = 17(x + 2) + 2 Combine like terms: -36 + 63 = 27 27 + 4x + 14x = 17(x + 2) + 2 Combine like terms: 4x + 14x = 18x 27 + 18x = 17(x + 2) + 2 Reorder the terms: 27 + 18x = 17(2 + x) + 2 27 + 18x = (2 * 17 + x * 17) + 2 27 + 18x = (34 + 17x) + 2 Reorder the terms: 27 + 18x = 34 + 2 + 17x Combine like terms: 34 + 2 = 36 27 + 18x = 36 + 17x Solving 27 + 18x = 36 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 27 + 18x + -17x = 36 + 17x + -17x Combine like terms: 18x + -17x = 1x 27 + 1x = 36 + 17x + -17x Combine like terms: 17x + -17x = 0 27 + 1x = 36 + 0 27 + 1x = 36 Add '-27' to each side of the equation. 27 + -27 + 1x = 36 + -27 Combine like terms: 27 + -27 = 0 0 + 1x = 36 + -27 1x = 36 + -27 Combine like terms: 36 + -27 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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