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Simplifying -7(x + 7) + 234 = 11 + 27 Reorder the terms: -7(7 + x) + 234 = 11 + 27 (7 * -7 + x * -7) + 234 = 11 + 27 (-49 + -7x) + 234 = 11 + 27 Reorder the terms: -49 + 234 + -7x = 11 + 27 Combine like terms: -49 + 234 = 185 185 + -7x = 11 + 27 Combine like terms: 11 + 27 = 38 185 + -7x = 38 Solving 185 + -7x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-185' to each side of the equation. 185 + -185 + -7x = 38 + -185 Combine like terms: 185 + -185 = 0 0 + -7x = 38 + -185 -7x = 38 + -185 Combine like terms: 38 + -185 = -147 -7x = -147 Divide each side by '-7'. x = 21 Simplifying x = 21
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