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Simplifying -6(7x + -1) = -8 + 9(-3x + -4) Reorder the terms: -6(-1 + 7x) = -8 + 9(-3x + -4) (-1 * -6 + 7x * -6) = -8 + 9(-3x + -4) (6 + -42x) = -8 + 9(-3x + -4) Reorder the terms: 6 + -42x = -8 + 9(-4 + -3x) 6 + -42x = -8 + (-4 * 9 + -3x * 9) 6 + -42x = -8 + (-36 + -27x) Combine like terms: -8 + -36 = -44 6 + -42x = -44 + -27x Solving 6 + -42x = -44 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 6 + -42x + 27x = -44 + -27x + 27x Combine like terms: -42x + 27x = -15x 6 + -15x = -44 + -27x + 27x Combine like terms: -27x + 27x = 0 6 + -15x = -44 + 0 6 + -15x = -44 Add '-6' to each side of the equation. 6 + -6 + -15x = -44 + -6 Combine like terms: 6 + -6 = 0 0 + -15x = -44 + -6 -15x = -44 + -6 Combine like terms: -44 + -6 = -50 -15x = -50 Divide each side by '-15'. x = 3.333333333 Simplifying x = 3.333333333
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