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Simplifying -7(x + -7) = -5(x + 3) Reorder the terms: -7(-7 + x) = -5(x + 3) (-7 * -7 + x * -7) = -5(x + 3) (49 + -7x) = -5(x + 3) Reorder the terms: 49 + -7x = -5(3 + x) 49 + -7x = (3 * -5 + x * -5) 49 + -7x = (-15 + -5x) Solving 49 + -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. 49 + -7x + 5x = -15 + -5x + 5x Combine like terms: -7x + 5x = -2x 49 + -2x = -15 + -5x + 5x Combine like terms: -5x + 5x = 0 49 + -2x = -15 + 0 49 + -2x = -15 Add '-49' to each side of the equation. 49 + -49 + -2x = -15 + -49 Combine like terms: 49 + -49 = 0 0 + -2x = -15 + -49 -2x = -15 + -49 Combine like terms: -15 + -49 = -64 -2x = -64 Divide each side by '-2'. x = 32 Simplifying x = 32
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