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Simplifying 4(3x + 1) + -5x = 6 + 5x + -2 Reorder the terms: 4(1 + 3x) + -5x = 6 + 5x + -2 (1 * 4 + 3x * 4) + -5x = 6 + 5x + -2 (4 + 12x) + -5x = 6 + 5x + -2 Combine like terms: 12x + -5x = 7x 4 + 7x = 6 + 5x + -2 Reorder the terms: 4 + 7x = 6 + -2 + 5x Combine like terms: 6 + -2 = 4 4 + 7x = 4 + 5x Add '-4' to each side of the equation. 4 + -4 + 7x = 4 + -4 + 5x Combine like terms: 4 + -4 = 0 0 + 7x = 4 + -4 + 5x 7x = 4 + -4 + 5x Combine like terms: 4 + -4 = 0 7x = 0 + 5x 7x = 5x Solving 7x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7x + -5x = 5x + -5x Combine like terms: 7x + -5x = 2x 2x = 5x + -5x Combine like terms: 5x + -5x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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