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Simplifying 4(3x + 1) = 3x + 22 Reorder the terms: 4(1 + 3x) = 3x + 22 (1 * 4 + 3x * 4) = 3x + 22 (4 + 12x) = 3x + 22 Reorder the terms: 4 + 12x = 22 + 3x Solving 4 + 12x = 22 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 12x + -3x = 22 + 3x + -3x Combine like terms: 12x + -3x = 9x 4 + 9x = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 9x = 22 + 0 4 + 9x = 22 Add '-4' to each side of the equation. 4 + -4 + 9x = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 22 + -4 9x = 22 + -4 Combine like terms: 22 + -4 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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