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Simplifying 7(3x + 1) + -4x = 3(4x + 3) + 2 Reorder the terms: 7(1 + 3x) + -4x = 3(4x + 3) + 2 (1 * 7 + 3x * 7) + -4x = 3(4x + 3) + 2 (7 + 21x) + -4x = 3(4x + 3) + 2 Combine like terms: 21x + -4x = 17x 7 + 17x = 3(4x + 3) + 2 Reorder the terms: 7 + 17x = 3(3 + 4x) + 2 7 + 17x = (3 * 3 + 4x * 3) + 2 7 + 17x = (9 + 12x) + 2 Reorder the terms: 7 + 17x = 9 + 2 + 12x Combine like terms: 9 + 2 = 11 7 + 17x = 11 + 12x Solving 7 + 17x = 11 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + 17x + -12x = 11 + 12x + -12x Combine like terms: 17x + -12x = 5x 7 + 5x = 11 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + 5x = 11 + 0 7 + 5x = 11 Add '-7' to each side of the equation. 7 + -7 + 5x = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 11 + -7 5x = 11 + -7 Combine like terms: 11 + -7 = 4 5x = 4 Divide each side by '5'. x = 0.8 Simplifying x = 0.8
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