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Simplifying 7(3x + 2) + -5(4x + -3) + 1 = 0 Reorder the terms: 7(2 + 3x) + -5(4x + -3) + 1 = 0 (2 * 7 + 3x * 7) + -5(4x + -3) + 1 = 0 (14 + 21x) + -5(4x + -3) + 1 = 0 Reorder the terms: 14 + 21x + -5(-3 + 4x) + 1 = 0 14 + 21x + (-3 * -5 + 4x * -5) + 1 = 0 14 + 21x + (15 + -20x) + 1 = 0 Reorder the terms: 14 + 15 + 1 + 21x + -20x = 0 Combine like terms: 14 + 15 = 29 29 + 1 + 21x + -20x = 0 Combine like terms: 29 + 1 = 30 30 + 21x + -20x = 0 Combine like terms: 21x + -20x = 1x 30 + 1x = 0 Solving 30 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 0 + -30 1x = 0 + -30 Combine like terms: 0 + -30 = -30 1x = -30 Divide each side by '1'. x = -30 Simplifying x = -30
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