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Simplifying 22 + 6x = -8(5x + 3) Reorder the terms: 22 + 6x = -8(3 + 5x) 22 + 6x = (3 * -8 + 5x * -8) 22 + 6x = (-24 + -40x) Solving 22 + 6x = -24 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 22 + 6x + 40x = -24 + -40x + 40x Combine like terms: 6x + 40x = 46x 22 + 46x = -24 + -40x + 40x Combine like terms: -40x + 40x = 0 22 + 46x = -24 + 0 22 + 46x = -24 Add '-22' to each side of the equation. 22 + -22 + 46x = -24 + -22 Combine like terms: 22 + -22 = 0 0 + 46x = -24 + -22 46x = -24 + -22 Combine like terms: -24 + -22 = -46 46x = -46 Divide each side by '46'. x = -1 Simplifying x = -1
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