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Simplifying -7(x + -3) = -5(-3 + x) Reorder the terms: -7(-3 + x) = -5(-3 + x) (-3 * -7 + x * -7) = -5(-3 + x) (21 + -7x) = -5(-3 + x) 21 + -7x = (-3 * -5 + x * -5) 21 + -7x = (15 + -5x) Solving 21 + -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. 21 + -7x + 5x = 15 + -5x + 5x Combine like terms: -7x + 5x = -2x 21 + -2x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 21 + -2x = 15 + 0 21 + -2x = 15 Add '-21' to each side of the equation. 21 + -21 + -2x = 15 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 15 + -21 -2x = 15 + -21 Combine like terms: 15 + -21 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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