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Simplifying 22 = 2(4x + 5) + -2x Reorder the terms: 22 = 2(5 + 4x) + -2x 22 = (5 * 2 + 4x * 2) + -2x 22 = (10 + 8x) + -2x Combine like terms: 8x + -2x = 6x 22 = 10 + 6x Solving 22 = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 22 + -6x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 22 + -6x = 10 + 0 22 + -6x = 10 Add '-22' to each side of the equation. 22 + -22 + -6x = 10 + -22 Combine like terms: 22 + -22 = 0 0 + -6x = 10 + -22 -6x = 10 + -22 Combine like terms: 10 + -22 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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