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Simplifying 22 = 4x + 5(-4x + 30) Reorder the terms: 22 = 4x + 5(30 + -4x) 22 = 4x + (30 * 5 + -4x * 5) 22 = 4x + (150 + -20x) Reorder the terms: 22 = 150 + 4x + -20x Combine like terms: 4x + -20x = -16x 22 = 150 + -16x Solving 22 = 150 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 22 + 16x = 150 + -16x + 16x Combine like terms: -16x + 16x = 0 22 + 16x = 150 + 0 22 + 16x = 150 Add '-22' to each side of the equation. 22 + -22 + 16x = 150 + -22 Combine like terms: 22 + -22 = 0 0 + 16x = 150 + -22 16x = 150 + -22 Combine like terms: 150 + -22 = 128 16x = 128 Divide each side by '16'. x = 8 Simplifying x = 8
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