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Simplifying 8(x + 6) = 76(x + -6) + x Reorder the terms: 8(6 + x) = 76(x + -6) + x (6 * 8 + x * 8) = 76(x + -6) + x (48 + 8x) = 76(x + -6) + x Reorder the terms: 48 + 8x = 76(-6 + x) + x 48 + 8x = (-6 * 76 + x * 76) + x 48 + 8x = (-456 + 76x) + x Combine like terms: 76x + x = 77x 48 + 8x = -456 + 77x Solving 48 + 8x = -456 + 77x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-77x' to each side of the equation. 48 + 8x + -77x = -456 + 77x + -77x Combine like terms: 8x + -77x = -69x 48 + -69x = -456 + 77x + -77x Combine like terms: 77x + -77x = 0 48 + -69x = -456 + 0 48 + -69x = -456 Add '-48' to each side of the equation. 48 + -48 + -69x = -456 + -48 Combine like terms: 48 + -48 = 0 0 + -69x = -456 + -48 -69x = -456 + -48 Combine like terms: -456 + -48 = -504 -69x = -504 Divide each side by '-69'. x = 7.304347826 Simplifying x = 7.304347826
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