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Simplifying 426 = -6(8x + -7) Reorder the terms: 426 = -6(-7 + 8x) 426 = (-7 * -6 + 8x * -6) 426 = (42 + -48x) Solving 426 = 42 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. 426 + 48x = 42 + -48x + 48x Combine like terms: -48x + 48x = 0 426 + 48x = 42 + 0 426 + 48x = 42 Add '-426' to each side of the equation. 426 + -426 + 48x = 42 + -426 Combine like terms: 426 + -426 = 0 0 + 48x = 42 + -426 48x = 42 + -426 Combine like terms: 42 + -426 = -384 48x = -384 Divide each side by '48'. x = -8 Simplifying x = -8
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