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Simplifying 6(-7x + 8) = -456 Reorder the terms: 6(8 + -7x) = -456 (8 * 6 + -7x * 6) = -456 (48 + -42x) = -456 Solving 48 + -42x = -456 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -42x = -456 + -48 Combine like terms: 48 + -48 = 0 0 + -42x = -456 + -48 -42x = -456 + -48 Combine like terms: -456 + -48 = -504 -42x = -504 Divide each side by '-42'. x = 12 Simplifying x = 12
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