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Simplifying -8 + 6(-7 + -8x) = -434 -8 + (-7 * 6 + -8x * 6) = -434 -8 + (-42 + -48x) = -434 Combine like terms: -8 + -42 = -50 -50 + -48x = -434 Solving -50 + -48x = -434 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -48x = -434 + 50 Combine like terms: -50 + 50 = 0 0 + -48x = -434 + 50 -48x = -434 + 50 Combine like terms: -434 + 50 = -384 -48x = -384 Divide each side by '-48'. x = 8 Simplifying x = 8
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