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