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Simplifying 7(2x + -5) = 10(3x + 7) + 5x Reorder the terms: 7(-5 + 2x) = 10(3x + 7) + 5x (-5 * 7 + 2x * 7) = 10(3x + 7) + 5x (-35 + 14x) = 10(3x + 7) + 5x Reorder the terms: -35 + 14x = 10(7 + 3x) + 5x -35 + 14x = (7 * 10 + 3x * 10) + 5x -35 + 14x = (70 + 30x) + 5x Combine like terms: 30x + 5x = 35x -35 + 14x = 70 + 35x Solving -35 + 14x = 70 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -35 + 14x + -35x = 70 + 35x + -35x Combine like terms: 14x + -35x = -21x -35 + -21x = 70 + 35x + -35x Combine like terms: 35x + -35x = 0 -35 + -21x = 70 + 0 -35 + -21x = 70 Add '35' to each side of the equation. -35 + 35 + -21x = 70 + 35 Combine like terms: -35 + 35 = 0 0 + -21x = 70 + 35 -21x = 70 + 35 Combine like terms: 70 + 35 = 105 -21x = 105 Divide each side by '-21'. x = -5 Simplifying x = -5
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