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Simplifying 3(4x + 1) + -47 = 7x + 1 Reorder the terms: 3(1 + 4x) + -47 = 7x + 1 (1 * 3 + 4x * 3) + -47 = 7x + 1 (3 + 12x) + -47 = 7x + 1 Reorder the terms: 3 + -47 + 12x = 7x + 1 Combine like terms: 3 + -47 = -44 -44 + 12x = 7x + 1 Reorder the terms: -44 + 12x = 1 + 7x Solving -44 + 12x = 1 + 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. -44 + 12x + -7x = 1 + 7x + -7x Combine like terms: 12x + -7x = 5x -44 + 5x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -44 + 5x = 1 + 0 -44 + 5x = 1 Add '44' to each side of the equation. -44 + 44 + 5x = 1 + 44 Combine like terms: -44 + 44 = 0 0 + 5x = 1 + 44 5x = 1 + 44 Combine like terms: 1 + 44 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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