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Simplifying (-3x + 52) = (4x + -4) Reorder the terms: (52 + -3x) = (4x + -4) Remove parenthesis around (52 + -3x) 52 + -3x = (4x + -4) Reorder the terms: 52 + -3x = (-4 + 4x) Remove parenthesis around (-4 + 4x) 52 + -3x = -4 + 4x Solving 52 + -3x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 52 + -3x + -4x = -4 + 4x + -4x Combine like terms: -3x + -4x = -7x 52 + -7x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 52 + -7x = -4 + 0 52 + -7x = -4 Add '-52' to each side of the equation. 52 + -52 + -7x = -4 + -52 Combine like terms: 52 + -52 = 0 0 + -7x = -4 + -52 -7x = -4 + -52 Combine like terms: -4 + -52 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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