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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 = -30 -7x = -30 Divide each side by '-7'. x = 4.285714286 Simplifying x = 4.285714286
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