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Simplifying -102 + x = 6x + 28 Reorder the terms: -102 + x = 28 + 6x Solving -102 + x = 28 + 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 + x + -6x = 28 + 6x + -6x Combine like terms: x + -6x = -5x -102 + -5x = 28 + 6x + -6x Combine like terms: 6x + -6x = 0 -102 + -5x = 28 + 0 -102 + -5x = 28 Add '102' to each side of the equation. -102 + 102 + -5x = 28 + 102 Combine like terms: -102 + 102 = 0 0 + -5x = 28 + 102 -5x = 28 + 102 Combine like terms: 28 + 102 = 130 -5x = 130 Divide each side by '-5'. x = -26 Simplifying x = -26
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