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Simplifying -4x + 8 = 52 + 7x Reorder the terms: 8 + -4x = 52 + 7x Solving 8 + -4x = 52 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + -4x + -7x = 52 + 7x + -7x Combine like terms: -4x + -7x = -11x 8 + -11x = 52 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -11x = 52 + 0 8 + -11x = 52 Add '-8' to each side of the equation. 8 + -8 + -11x = 52 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = 52 + -8 -11x = 52 + -8 Combine like terms: 52 + -8 = 44 -11x = 44 Divide each side by '-11'. x = -4 Simplifying x = -4
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