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Simplifying -52 + 2x = 84 + 6x Solving -52 + 2x = 84 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -52 + 2x + -6x = 84 + 6x + -6x Combine like terms: 2x + -6x = -4x -52 + -4x = 84 + 6x + -6x Combine like terms: 6x + -6x = 0 -52 + -4x = 84 + 0 -52 + -4x = 84 Add '52' to each side of the equation. -52 + 52 + -4x = 84 + 52 Combine like terms: -52 + 52 = 0 0 + -4x = 84 + 52 -4x = 84 + 52 Combine like terms: 84 + 52 = 136 -4x = 136 Divide each side by '-4'. x = -34 Simplifying x = -34
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