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Simplifying 3(1 + x) + 4(3 + x) = 22 (1 * 3 + x * 3) + 4(3 + x) = 22 (3 + 3x) + 4(3 + x) = 22 3 + 3x + (3 * 4 + x * 4) = 22 3 + 3x + (12 + 4x) = 22 Reorder the terms: 3 + 12 + 3x + 4x = 22 Combine like terms: 3 + 12 = 15 15 + 3x + 4x = 22 Combine like terms: 3x + 4x = 7x 15 + 7x = 22 Solving 15 + 7x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 7x = 22 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 22 + -15 7x = 22 + -15 Combine like terms: 22 + -15 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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