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Simplifying 4(3x + 1) + -7x = 6 + 5 + -2 Reorder the terms: 4(1 + 3x) + -7x = 6 + 5 + -2 (1 * 4 + 3x * 4) + -7x = 6 + 5 + -2 (4 + 12x) + -7x = 6 + 5 + -2 Combine like terms: 12x + -7x = 5x 4 + 5x = 6 + 5 + -2 Combine like terms: 6 + 5 = 11 4 + 5x = 11 + -2 Combine like terms: 11 + -2 = 9 4 + 5x = 9 Solving 4 + 5x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 9 + -4 5x = 9 + -4 Combine like terms: 9 + -4 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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