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Simplifying -6(7x + -1) = -8 + 9(-1x + -4) Reorder the terms: -6(-1 + 7x) = -8 + 9(-1x + -4) (-1 * -6 + 7x * -6) = -8 + 9(-1x + -4) (6 + -42x) = -8 + 9(-1x + -4) Reorder the terms: 6 + -42x = -8 + 9(-4 + -1x) 6 + -42x = -8 + (-4 * 9 + -1x * 9) 6 + -42x = -8 + (-36 + -9x) Combine like terms: -8 + -36 = -44 6 + -42x = -44 + -9x Solving 6 + -42x = -44 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 6 + -42x + 9x = -44 + -9x + 9x Combine like terms: -42x + 9x = -33x 6 + -33x = -44 + -9x + 9x Combine like terms: -9x + 9x = 0 6 + -33x = -44 + 0 6 + -33x = -44 Add '-6' to each side of the equation. 6 + -6 + -33x = -44 + -6 Combine like terms: 6 + -6 = 0 0 + -33x = -44 + -6 -33x = -44 + -6 Combine like terms: -44 + -6 = -50 -33x = -50 Divide each side by '-33'. x = 1.515151515 Simplifying x = 1.515151515
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