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Simplifying -7(x + -7) = 3(x + 3) Reorder the terms: -7(-7 + x) = 3(x + 3) (-7 * -7 + x * -7) = 3(x + 3) (49 + -7x) = 3(x + 3) Reorder the terms: 49 + -7x = 3(3 + x) 49 + -7x = (3 * 3 + x * 3) 49 + -7x = (9 + 3x) Solving 49 + -7x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 49 + -7x + -3x = 9 + 3x + -3x Combine like terms: -7x + -3x = -10x 49 + -10x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 49 + -10x = 9 + 0 49 + -10x = 9 Add '-49' to each side of the equation. 49 + -49 + -10x = 9 + -49 Combine like terms: 49 + -49 = 0 0 + -10x = 9 + -49 -10x = 9 + -49 Combine like terms: 9 + -49 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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