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Simplifying -4x + 22 = 2(x + 5) Reorder the terms: 22 + -4x = 2(x + 5) Reorder the terms: 22 + -4x = 2(5 + x) 22 + -4x = (5 * 2 + x * 2) 22 + -4x = (10 + 2x) Solving 22 + -4x = 10 + 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 + -4x + -2x = 10 + 2x + -2x Combine like terms: -4x + -2x = -6x 22 + -6x = 10 + 2x + -2x Combine like terms: 2x + -2x = 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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