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