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Simplifying x * 5 + 52 = x * 8 + -14 Reorder the terms for easier multiplication: 5x + 52 = x * 8 + -14 Reorder the terms: 52 + 5x = x * 8 + -14 Reorder the terms for easier multiplication: 52 + 5x = 8x + -14 Reorder the terms: 52 + 5x = -14 + 8x Solving 52 + 5x = -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 + 5x + -8x = -14 + 8x + -8x Combine like terms: 5x + -8x = -3x 52 + -3x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 52 + -3x = -14 + 0 52 + -3x = -14 Add '-52' to each side of the equation. 52 + -52 + -3x = -14 + -52 Combine like terms: 52 + -52 = 0 0 + -3x = -14 + -52 -3x = -14 + -52 Combine like terms: -14 + -52 = -66 -3x = -66 Divide each side by '-3'. x = 22 Simplifying x = 22
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