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Simplifying 3(4x + 4) + 6 = 7x + 3 Reorder the terms: 3(4 + 4x) + 6 = 7x + 3 (4 * 3 + 4x * 3) + 6 = 7x + 3 (12 + 12x) + 6 = 7x + 3 Reorder the terms: 12 + 6 + 12x = 7x + 3 Combine like terms: 12 + 6 = 18 18 + 12x = 7x + 3 Reorder the terms: 18 + 12x = 3 + 7x Solving 18 + 12x = 3 + 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. 18 + 12x + -7x = 3 + 7x + -7x Combine like terms: 12x + -7x = 5x 18 + 5x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 18 + 5x = 3 + 0 18 + 5x = 3 Add '-18' to each side of the equation. 18 + -18 + 5x = 3 + -18 Combine like terms: 18 + -18 = 0 0 + 5x = 3 + -18 5x = 3 + -18 Combine like terms: 3 + -18 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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