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Simplifying 4(3x + 1) + -5 = 9 + 7x Reorder the terms: 4(1 + 3x) + -5 = 9 + 7x (1 * 4 + 3x * 4) + -5 = 9 + 7x (4 + 12x) + -5 = 9 + 7x Reorder the terms: 4 + -5 + 12x = 9 + 7x Combine like terms: 4 + -5 = -1 -1 + 12x = 9 + 7x Solving -1 + 12x = 9 + 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. -1 + 12x + -7x = 9 + 7x + -7x Combine like terms: 12x + -7x = 5x -1 + 5x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + 5x = 9 + 0 -1 + 5x = 9 Add '1' to each side of the equation. -1 + 1 + 5x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 9 + 1 5x = 9 + 1 Combine like terms: 9 + 1 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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