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Simplifying 22 + 4x = 7(1 + x) 22 + 4x = (1 * 7 + x * 7) 22 + 4x = (7 + 7x) Solving 22 + 4x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 22 + 4x + -7x = 7 + 7x + -7x Combine like terms: 4x + -7x = -3x 22 + -3x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 22 + -3x = 7 + 0 22 + -3x = 7 Add '-22' to each side of the equation. 22 + -22 + -3x = 7 + -22 Combine like terms: 22 + -22 = 0 0 + -3x = 7 + -22 -3x = 7 + -22 Combine like terms: 7 + -22 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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