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Simplifying -2x + 22 = 2(x + 7) Reorder the terms: 22 + -2x = 2(x + 7) Reorder the terms: 22 + -2x = 2(7 + x) 22 + -2x = (7 * 2 + x * 2) 22 + -2x = (14 + 2x) Solving 22 + -2x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 22 + -2x + -2x = 14 + 2x + -2x Combine like terms: -2x + -2x = -4x 22 + -4x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 22 + -4x = 14 + 0 22 + -4x = 14 Add '-22' to each side of the equation. 22 + -22 + -4x = 14 + -22 Combine like terms: 22 + -22 = 0 0 + -4x = 14 + -22 -4x = 14 + -22 Combine like terms: 14 + -22 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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