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Simplifying 6x + 7(-7x + -5) = 4(3x + 5) Reorder the terms: 6x + 7(-5 + -7x) = 4(3x + 5) 6x + (-5 * 7 + -7x * 7) = 4(3x + 5) 6x + (-35 + -49x) = 4(3x + 5) Reorder the terms: -35 + 6x + -49x = 4(3x + 5) Combine like terms: 6x + -49x = -43x -35 + -43x = 4(3x + 5) Reorder the terms: -35 + -43x = 4(5 + 3x) -35 + -43x = (5 * 4 + 3x * 4) -35 + -43x = (20 + 12x) Solving -35 + -43x = 20 + 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. -35 + -43x + -12x = 20 + 12x + -12x Combine like terms: -43x + -12x = -55x -35 + -55x = 20 + 12x + -12x Combine like terms: 12x + -12x = 0 -35 + -55x = 20 + 0 -35 + -55x = 20 Add '35' to each side of the equation. -35 + 35 + -55x = 20 + 35 Combine like terms: -35 + 35 = 0 0 + -55x = 20 + 35 -55x = 20 + 35 Combine like terms: 20 + 35 = 55 -55x = 55 Divide each side by '-55'. x = -1 Simplifying x = -1
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