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Simplifying 22 + -14(x + -13) = 9x + -72 Reorder the terms: 22 + -14(-13 + x) = 9x + -72 22 + (-13 * -14 + x * -14) = 9x + -72 22 + (182 + -14x) = 9x + -72 Combine like terms: 22 + 182 = 204 204 + -14x = 9x + -72 Reorder the terms: 204 + -14x = -72 + 9x Solving 204 + -14x = -72 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 204 + -14x + -9x = -72 + 9x + -9x Combine like terms: -14x + -9x = -23x 204 + -23x = -72 + 9x + -9x Combine like terms: 9x + -9x = 0 204 + -23x = -72 + 0 204 + -23x = -72 Add '-204' to each side of the equation. 204 + -204 + -23x = -72 + -204 Combine like terms: 204 + -204 = 0 0 + -23x = -72 + -204 -23x = -72 + -204 Combine like terms: -72 + -204 = -276 -23x = -276 Divide each side by '-23'. x = 12 Simplifying x = 12
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