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Simplifying 5x + -102 = 6x + 52 Reorder the terms: -102 + 5x = 6x + 52 Reorder the terms: -102 + 5x = 52 + 6x Solving -102 + 5x = 52 + 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. -102 + 5x + -6x = 52 + 6x + -6x Combine like terms: 5x + -6x = -1x -102 + -1x = 52 + 6x + -6x Combine like terms: 6x + -6x = 0 -102 + -1x = 52 + 0 -102 + -1x = 52 Add '102' to each side of the equation. -102 + 102 + -1x = 52 + 102 Combine like terms: -102 + 102 = 0 0 + -1x = 52 + 102 -1x = 52 + 102 Combine like terms: 52 + 102 = 154 -1x = 154 Divide each side by '-1'. x = -154 Simplifying x = -154
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