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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 = 4x -49 + 4x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -49 + 4x = -9 + 0 -49 + 4x = -9 Add '49' to each side of the equation. -49 + 49 + 4x = -9 + 49 Combine like terms: -49 + 49 = 0 0 + 4x = -9 + 49 4x = -9 + 49 Combine like terms: -9 + 49 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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