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Simplifying -6(7x + -1) = -8x + 9(-3 + -4) Reorder the terms: -6(-1 + 7x) = -8x + 9(-3 + -4) (-1 * -6 + 7x * -6) = -8x + 9(-3 + -4) (6 + -42x) = -8x + 9(-3 + -4) Combine like terms: -3 + -4 = -7 6 + -42x = -8x + 9(-7) Multiply 9 * -7 6 + -42x = -8x + -63 Reorder the terms: 6 + -42x = -63 + -8x Solving 6 + -42x = -63 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + -42x + 8x = -63 + -8x + 8x Combine like terms: -42x + 8x = -34x 6 + -34x = -63 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + -34x = -63 + 0 6 + -34x = -63 Add '-6' to each side of the equation. 6 + -6 + -34x = -63 + -6 Combine like terms: 6 + -6 = 0 0 + -34x = -63 + -6 -34x = -63 + -6 Combine like terms: -63 + -6 = -69 -34x = -69 Divide each side by '-34'. x = 2.029411765 Simplifying x = 2.029411765
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