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Simplifying 7(x + -5) = 4(3x + 8) + -7 Reorder the terms: 7(-5 + x) = 4(3x + 8) + -7 (-5 * 7 + x * 7) = 4(3x + 8) + -7 (-35 + 7x) = 4(3x + 8) + -7 Reorder the terms: -35 + 7x = 4(8 + 3x) + -7 -35 + 7x = (8 * 4 + 3x * 4) + -7 -35 + 7x = (32 + 12x) + -7 Reorder the terms: -35 + 7x = 32 + -7 + 12x Combine like terms: 32 + -7 = 25 -35 + 7x = 25 + 12x Solving -35 + 7x = 25 + 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 + 7x + -12x = 25 + 12x + -12x Combine like terms: 7x + -12x = -5x -35 + -5x = 25 + 12x + -12x Combine like terms: 12x + -12x = 0 -35 + -5x = 25 + 0 -35 + -5x = 25 Add '35' to each side of the equation. -35 + 35 + -5x = 25 + 35 Combine like terms: -35 + 35 = 0 0 + -5x = 25 + 35 -5x = 25 + 35 Combine like terms: 25 + 35 = 60 -5x = 60 Divide each side by '-5'. x = -12 Simplifying x = -12
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