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Simplifying 9(x + -4) + 2(1 + 4x) = 0 Reorder the terms: 9(-4 + x) + 2(1 + 4x) = 0 (-4 * 9 + x * 9) + 2(1 + 4x) = 0 (-36 + 9x) + 2(1 + 4x) = 0 -36 + 9x + (1 * 2 + 4x * 2) = 0 -36 + 9x + (2 + 8x) = 0 Reorder the terms: -36 + 2 + 9x + 8x = 0 Combine like terms: -36 + 2 = -34 -34 + 9x + 8x = 0 Combine like terms: 9x + 8x = 17x -34 + 17x = 0 Solving -34 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 17x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 17x = 0 + 34 17x = 0 + 34 Combine like terms: 0 + 34 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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