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Simplifying 22(x + -1) = 10(x + 5) Reorder the terms: 22(-1 + x) = 10(x + 5) (-1 * 22 + x * 22) = 10(x + 5) (-22 + 22x) = 10(x + 5) Reorder the terms: -22 + 22x = 10(5 + x) -22 + 22x = (5 * 10 + x * 10) -22 + 22x = (50 + 10x) Solving -22 + 22x = 50 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -22 + 22x + -10x = 50 + 10x + -10x Combine like terms: 22x + -10x = 12x -22 + 12x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 -22 + 12x = 50 + 0 -22 + 12x = 50 Add '22' to each side of the equation. -22 + 22 + 12x = 50 + 22 Combine like terms: -22 + 22 = 0 0 + 12x = 50 + 22 12x = 50 + 22 Combine like terms: 50 + 22 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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