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Simplifying 2x + 52 = 8x + -14 Reorder the terms: 52 + 2x = 8x + -14 Reorder the terms: 52 + 2x = -14 + 8x Solving 52 + 2x = -14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 52 + 2x + -8x = -14 + 8x + -8x Combine like terms: 2x + -8x = -6x 52 + -6x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 52 + -6x = -14 + 0 52 + -6x = -14 Add '-52' to each side of the equation. 52 + -52 + -6x = -14 + -52 Combine like terms: 52 + -52 = 0 0 + -6x = -14 + -52 -6x = -14 + -52 Combine like terms: -14 + -52 = -66 -6x = -66 Divide each side by '-6'. x = 11 Simplifying x = 11
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