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Simplifying 11(x + -2) + -11 = 23x + -177 Reorder the terms: 11(-2 + x) + -11 = 23x + -177 (-2 * 11 + x * 11) + -11 = 23x + -177 (-22 + 11x) + -11 = 23x + -177 Reorder the terms: -22 + -11 + 11x = 23x + -177 Combine like terms: -22 + -11 = -33 -33 + 11x = 23x + -177 Reorder the terms: -33 + 11x = -177 + 23x Solving -33 + 11x = -177 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -33 + 11x + -23x = -177 + 23x + -23x Combine like terms: 11x + -23x = -12x -33 + -12x = -177 + 23x + -23x Combine like terms: 23x + -23x = 0 -33 + -12x = -177 + 0 -33 + -12x = -177 Add '33' to each side of the equation. -33 + 33 + -12x = -177 + 33 Combine like terms: -33 + 33 = 0 0 + -12x = -177 + 33 -12x = -177 + 33 Combine like terms: -177 + 33 = -144 -12x = -144 Divide each side by '-12'. x = 12 Simplifying x = 12
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