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Simplifying 9(4x + 1) = 3x + -9x Reorder the terms: 9(1 + 4x) = 3x + -9x (1 * 9 + 4x * 9) = 3x + -9x (9 + 36x) = 3x + -9x Combine like terms: 3x + -9x = -6x 9 + 36x = -6x Solving 9 + 36x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 9 + 36x + 6x = -6x + 6x Combine like terms: 36x + 6x = 42x 9 + 42x = -6x + 6x Combine like terms: -6x + 6x = 0 9 + 42x = 0 Add '-9' to each side of the equation. 9 + -9 + 42x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 42x = 0 + -9 42x = 0 + -9 Combine like terms: 0 + -9 = -9 42x = -9 Divide each side by '42'. x = -0.2142857143 Simplifying x = -0.2142857143
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