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Simplifying -6(5x + -1) = -8(1 + 4x) Reorder the terms: -6(-1 + 5x) = -8(1 + 4x) (-1 * -6 + 5x * -6) = -8(1 + 4x) (6 + -30x) = -8(1 + 4x) 6 + -30x = (1 * -8 + 4x * -8) 6 + -30x = (-8 + -32x) Solving 6 + -30x = -8 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 6 + -30x + 32x = -8 + -32x + 32x Combine like terms: -30x + 32x = 2x 6 + 2x = -8 + -32x + 32x Combine like terms: -32x + 32x = 0 6 + 2x = -8 + 0 6 + 2x = -8 Add '-6' to each side of the equation. 6 + -6 + 2x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -8 + -6 2x = -8 + -6 Combine like terms: -8 + -6 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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