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Simplifying 7(x + -1) = 5(x + -3) Reorder the terms: 7(-1 + x) = 5(x + -3) (-1 * 7 + x * 7) = 5(x + -3) (-7 + 7x) = 5(x + -3) Reorder the terms: -7 + 7x = 5(-3 + x) -7 + 7x = (-3 * 5 + x * 5) -7 + 7x = (-15 + 5x) Solving -7 + 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. -7 + 7x + -5x = -15 + 5x + -5x Combine like terms: 7x + -5x = 2x -7 + 2x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 2x = -15 + 0 -7 + 2x = -15 Add '7' to each side of the equation. -7 + 7 + 2x = -15 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = -15 + 7 2x = -15 + 7 Combine like terms: -15 + 7 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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