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Simplifying 22 + -5x = -2(4x + -5) Reorder the terms: 22 + -5x = -2(-5 + 4x) 22 + -5x = (-5 * -2 + 4x * -2) 22 + -5x = (10 + -8x) Solving 22 + -5x = 10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 22 + -5x + 8x = 10 + -8x + 8x Combine like terms: -5x + 8x = 3x 22 + 3x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 22 + 3x = 10 + 0 22 + 3x = 10 Add '-22' to each side of the equation. 22 + -22 + 3x = 10 + -22 Combine like terms: 22 + -22 = 0 0 + 3x = 10 + -22 3x = 10 + -22 Combine like terms: 10 + -22 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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