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Simplifying 3(4x + 1) + 22 = 9x + 4 Reorder the terms: 3(1 + 4x) + 22 = 9x + 4 (1 * 3 + 4x * 3) + 22 = 9x + 4 (3 + 12x) + 22 = 9x + 4 Reorder the terms: 3 + 22 + 12x = 9x + 4 Combine like terms: 3 + 22 = 25 25 + 12x = 9x + 4 Reorder the terms: 25 + 12x = 4 + 9x Solving 25 + 12x = 4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 25 + 12x + -9x = 4 + 9x + -9x Combine like terms: 12x + -9x = 3x 25 + 3x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 25 + 3x = 4 + 0 25 + 3x = 4 Add '-25' to each side of the equation. 25 + -25 + 3x = 4 + -25 Combine like terms: 25 + -25 = 0 0 + 3x = 4 + -25 3x = 4 + -25 Combine like terms: 4 + -25 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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