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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 = -7x 6 + -7x = -36 + -35x + 35x Combine like terms: -35x + 35x = 0 6 + -7x = -36 + 0 6 + -7x = -36 Add '-6' to each side of the equation. 6 + -6 + -7x = -36 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -36 + -6 -7x = -36 + -6 Combine like terms: -36 + -6 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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