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Simplifying 7x + 22 = 2(5x + 2) Reorder the terms: 22 + 7x = 2(5x + 2) Reorder the terms: 22 + 7x = 2(2 + 5x) 22 + 7x = (2 * 2 + 5x * 2) 22 + 7x = (4 + 10x) Solving 22 + 7x = 4 + 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 + 7x + -10x = 4 + 10x + -10x Combine like terms: 7x + -10x = -3x 22 + -3x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 22 + -3x = 4 + 0 22 + -3x = 4 Add '-22' to each side of the equation. 22 + -22 + -3x = 4 + -22 Combine like terms: 22 + -22 = 0 0 + -3x = 4 + -22 -3x = 4 + -22 Combine like terms: 4 + -22 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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