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Simplifying 4(3x + 1) + 6 = 7x Reorder the terms: 4(1 + 3x) + 6 = 7x (1 * 4 + 3x * 4) + 6 = 7x (4 + 12x) + 6 = 7x Reorder the terms: 4 + 6 + 12x = 7x Combine like terms: 4 + 6 = 10 10 + 12x = 7x Solving 10 + 12x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 12x + -7x = 7x + -7x Combine like terms: 12x + -7x = 5x 10 + 5x = 7x + -7x Combine like terms: 7x + -7x = 0 10 + 5x = 0 Add '-10' to each side of the equation. 10 + -10 + 5x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 0 + -10 5x = 0 + -10 Combine like terms: 0 + -10 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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