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Simplifying 4(1 + 6x) = -22 + -2x (1 * 4 + 6x * 4) = -22 + -2x (4 + 24x) = -22 + -2x Solving 4 + 24x = -22 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 24x + 2x = -22 + -2x + 2x Combine like terms: 24x + 2x = 26x 4 + 26x = -22 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 26x = -22 + 0 4 + 26x = -22 Add '-4' to each side of the equation. 4 + -4 + 26x = -22 + -4 Combine like terms: 4 + -4 = 0 0 + 26x = -22 + -4 26x = -22 + -4 Combine like terms: -22 + -4 = -26 26x = -26 Divide each side by '26'. x = -1 Simplifying x = -1
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