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Simplifying 7(x + -3) = 5(x + -1) Reorder the terms: 7(-3 + x) = 5(x + -1) (-3 * 7 + x * 7) = 5(x + -1) (-21 + 7x) = 5(x + -1) Reorder the terms: -21 + 7x = 5(-1 + x) -21 + 7x = (-1 * 5 + x * 5) -21 + 7x = (-5 + 5x) Solving -21 + 7x = -5 + 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. -21 + 7x + -5x = -5 + 5x + -5x Combine like terms: 7x + -5x = 2x -21 + 2x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + 2x = -5 + 0 -21 + 2x = -5 Add '21' to each side of the equation. -21 + 21 + 2x = -5 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = -5 + 21 2x = -5 + 21 Combine like terms: -5 + 21 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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