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Simplifying 27(x + 34) = -7 + -10x Reorder the terms: 27(34 + x) = -7 + -10x (34 * 27 + x * 27) = -7 + -10x (918 + 27x) = -7 + -10x Solving 918 + 27x = -7 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 918 + 27x + 10x = -7 + -10x + 10x Combine like terms: 27x + 10x = 37x 918 + 37x = -7 + -10x + 10x Combine like terms: -10x + 10x = 0 918 + 37x = -7 + 0 918 + 37x = -7 Add '-918' to each side of the equation. 918 + -918 + 37x = -7 + -918 Combine like terms: 918 + -918 = 0 0 + 37x = -7 + -918 37x = -7 + -918 Combine like terms: -7 + -918 = -925 37x = -925 Divide each side by '37'. x = -25 Simplifying x = -25
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