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Simplifying 4(3x + 1) = 25 + 3(2x + -1) Reorder the terms: 4(1 + 3x) = 25 + 3(2x + -1) (1 * 4 + 3x * 4) = 25 + 3(2x + -1) (4 + 12x) = 25 + 3(2x + -1) Reorder the terms: 4 + 12x = 25 + 3(-1 + 2x) 4 + 12x = 25 + (-1 * 3 + 2x * 3) 4 + 12x = 25 + (-3 + 6x) Combine like terms: 25 + -3 = 22 4 + 12x = 22 + 6x Solving 4 + 12x = 22 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 12x + -6x = 22 + 6x + -6x Combine like terms: 12x + -6x = 6x 4 + 6x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 6x = 22 + 0 4 + 6x = 22 Add '-4' to each side of the equation. 4 + -4 + 6x = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 22 + -4 6x = 22 + -4 Combine like terms: 22 + -4 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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