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Simplifying 5(22 + x) = 182 + -1x (22 * 5 + x * 5) = 182 + -1x (110 + 5x) = 182 + -1x Solving 110 + 5x = 182 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 110 + 5x + x = 182 + -1x + x Combine like terms: 5x + x = 6x 110 + 6x = 182 + -1x + x Combine like terms: -1x + x = 0 110 + 6x = 182 + 0 110 + 6x = 182 Add '-110' to each side of the equation. 110 + -110 + 6x = 182 + -110 Combine like terms: 110 + -110 = 0 0 + 6x = 182 + -110 6x = 182 + -110 Combine like terms: 182 + -110 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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