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Simplifying -6(7x + -1) = 8x + 9(3x + -4) Reorder the terms: -6(-1 + 7x) = 8x + 9(3x + -4) (-1 * -6 + 7x * -6) = 8x + 9(3x + -4) (6 + -42x) = 8x + 9(3x + -4) Reorder the terms: 6 + -42x = 8x + 9(-4 + 3x) 6 + -42x = 8x + (-4 * 9 + 3x * 9) 6 + -42x = 8x + (-36 + 27x) Reorder the terms: 6 + -42x = -36 + 8x + 27x Combine like terms: 8x + 27x = 35x 6 + -42x = -36 + 35x Solving 6 + -42x = -36 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 6 + -42x + -35x = -36 + 35x + -35x Combine like terms: -42x + -35x = -77x 6 + -77x = -36 + 35x + -35x Combine like terms: 35x + -35x = 0 6 + -77x = -36 + 0 6 + -77x = -36 Add '-6' to each side of the equation. 6 + -6 + -77x = -36 + -6 Combine like terms: 6 + -6 = 0 0 + -77x = -36 + -6 -77x = -36 + -6 Combine like terms: -36 + -6 = -42 -77x = -42 Divide each side by '-77'. x = 0.5454545455 Simplifying x = 0.5454545455
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