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Simplifying -8(x + 11) + 758 = 27 + 27 Reorder the terms: -8(11 + x) + 758 = 27 + 27 (11 * -8 + x * -8) + 758 = 27 + 27 (-88 + -8x) + 758 = 27 + 27 Reorder the terms: -88 + 758 + -8x = 27 + 27 Combine like terms: -88 + 758 = 670 670 + -8x = 27 + 27 Combine like terms: 27 + 27 = 54 670 + -8x = 54 Solving 670 + -8x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-670' to each side of the equation. 670 + -670 + -8x = 54 + -670 Combine like terms: 670 + -670 = 0 0 + -8x = 54 + -670 -8x = 54 + -670 Combine like terms: 54 + -670 = -616 -8x = -616 Divide each side by '-8'. x = 77 Simplifying x = 77
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