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Simplifying 3(4x + 1) + -4 = 3(5x + 1) + -4x Reorder the terms: 3(1 + 4x) + -4 = 3(5x + 1) + -4x (1 * 3 + 4x * 3) + -4 = 3(5x + 1) + -4x (3 + 12x) + -4 = 3(5x + 1) + -4x Reorder the terms: 3 + -4 + 12x = 3(5x + 1) + -4x Combine like terms: 3 + -4 = -1 -1 + 12x = 3(5x + 1) + -4x Reorder the terms: -1 + 12x = 3(1 + 5x) + -4x -1 + 12x = (1 * 3 + 5x * 3) + -4x -1 + 12x = (3 + 15x) + -4x Combine like terms: 15x + -4x = 11x -1 + 12x = 3 + 11x Solving -1 + 12x = 3 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -1 + 12x + -11x = 3 + 11x + -11x Combine like terms: 12x + -11x = 1x -1 + 1x = 3 + 11x + -11x Combine like terms: 11x + -11x = 0 -1 + 1x = 3 + 0 -1 + 1x = 3 Add '1' to each side of the equation. -1 + 1 + 1x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 3 + 1 1x = 3 + 1 Combine like terms: 3 + 1 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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