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Simplifying 7(x + -5) = -5(x + 3) Reorder the terms: 7(-5 + x) = -5(x + 3) (-5 * 7 + x * 7) = -5(x + 3) (-35 + 7x) = -5(x + 3) Reorder the terms: -35 + 7x = -5(3 + x) -35 + 7x = (3 * -5 + x * -5) -35 + 7x = (-15 + -5x) Solving -35 + 7x = -15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -35 + 7x + 5x = -15 + -5x + 5x Combine like terms: 7x + 5x = 12x -35 + 12x = -15 + -5x + 5x Combine like terms: -5x + 5x = 0 -35 + 12x = -15 + 0 -35 + 12x = -15 Add '35' to each side of the equation. -35 + 35 + 12x = -15 + 35 Combine like terms: -35 + 35 = 0 0 + 12x = -15 + 35 12x = -15 + 35 Combine like terms: -15 + 35 = 20 12x = 20 Divide each side by '12'. x = 1.666666667 Simplifying x = 1.666666667
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