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Simplifying 22 + -9x = -5(6x + 3) + -5(-4 + -4x) Reorder the terms: 22 + -9x = -5(3 + 6x) + -5(-4 + -4x) 22 + -9x = (3 * -5 + 6x * -5) + -5(-4 + -4x) 22 + -9x = (-15 + -30x) + -5(-4 + -4x) 22 + -9x = -15 + -30x + (-4 * -5 + -4x * -5) 22 + -9x = -15 + -30x + (20 + 20x) Reorder the terms: 22 + -9x = -15 + 20 + -30x + 20x Combine like terms: -15 + 20 = 5 22 + -9x = 5 + -30x + 20x Combine like terms: -30x + 20x = -10x 22 + -9x = 5 + -10x Solving 22 + -9x = 5 + -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 + -9x + 10x = 5 + -10x + 10x Combine like terms: -9x + 10x = 1x 22 + 1x = 5 + -10x + 10x Combine like terms: -10x + 10x = 0 22 + 1x = 5 + 0 22 + 1x = 5 Add '-22' to each side of the equation. 22 + -22 + 1x = 5 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 5 + -22 1x = 5 + -22 Combine like terms: 5 + -22 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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