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Simplifying -1x + 8 = 5x + -28 Reorder the terms: 8 + -1x = 5x + -28 Reorder the terms: 8 + -1x = -28 + 5x Solving 8 + -1x = -28 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + -1x + -5x = -28 + 5x + -5x Combine like terms: -1x + -5x = -6x 8 + -6x = -28 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -6x = -28 + 0 8 + -6x = -28 Add '-8' to each side of the equation. 8 + -8 + -6x = -28 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -28 + -8 -6x = -28 + -8 Combine like terms: -28 + -8 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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