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Simplifying -1(7x + -6) = 4(-5x + -6) + 8x Reorder the terms: -1(-6 + 7x) = 4(-5x + -6) + 8x (-6 * -1 + 7x * -1) = 4(-5x + -6) + 8x (6 + -7x) = 4(-5x + -6) + 8x Reorder the terms: 6 + -7x = 4(-6 + -5x) + 8x 6 + -7x = (-6 * 4 + -5x * 4) + 8x 6 + -7x = (-24 + -20x) + 8x Combine like terms: -20x + 8x = -12x 6 + -7x = -24 + -12x Solving 6 + -7x = -24 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 6 + -7x + 12x = -24 + -12x + 12x Combine like terms: -7x + 12x = 5x 6 + 5x = -24 + -12x + 12x Combine like terms: -12x + 12x = 0 6 + 5x = -24 + 0 6 + 5x = -24 Add '-6' to each side of the equation. 6 + -6 + 5x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = -24 + -6 5x = -24 + -6 Combine like terms: -24 + -6 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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