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Simplifying -7(x + 11) + 254 = 12 + 11 Reorder the terms: -7(11 + x) + 254 = 12 + 11 (11 * -7 + x * -7) + 254 = 12 + 11 (-77 + -7x) + 254 = 12 + 11 Reorder the terms: -77 + 254 + -7x = 12 + 11 Combine like terms: -77 + 254 = 177 177 + -7x = 12 + 11 Combine like terms: 12 + 11 = 23 177 + -7x = 23 Solving 177 + -7x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-177' to each side of the equation. 177 + -177 + -7x = 23 + -177 Combine like terms: 177 + -177 = 0 0 + -7x = 23 + -177 -7x = 23 + -177 Combine like terms: 23 + -177 = -154 -7x = -154 Divide each side by '-7'. x = 22 Simplifying x = 22
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