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Simplifying 3x + -5(2x + 7) + 4(3x + 5) = 0 Reorder the terms: 3x + -5(7 + 2x) + 4(3x + 5) = 0 3x + (7 * -5 + 2x * -5) + 4(3x + 5) = 0 3x + (-35 + -10x) + 4(3x + 5) = 0 Reorder the terms: 3x + -35 + -10x + 4(5 + 3x) = 0 3x + -35 + -10x + (5 * 4 + 3x * 4) = 0 3x + -35 + -10x + (20 + 12x) = 0 Reorder the terms: -35 + 20 + 3x + -10x + 12x = 0 Combine like terms: -35 + 20 = -15 -15 + 3x + -10x + 12x = 0 Combine like terms: 3x + -10x = -7x -15 + -7x + 12x = 0 Combine like terms: -7x + 12x = 5x -15 + 5x = 0 Solving -15 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 5x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 0 + 15 5x = 0 + 15 Combine like terms: 0 + 15 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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