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Simplifying -6x + 7 + 8 = -13 + -5x + 21 Reorder the terms: 7 + 8 + -6x = -13 + -5x + 21 Combine like terms: 7 + 8 = 15 15 + -6x = -13 + -5x + 21 Reorder the terms: 15 + -6x = -13 + 21 + -5x Combine like terms: -13 + 21 = 8 15 + -6x = 8 + -5x Solving 15 + -6x = 8 + -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. 15 + -6x + 5x = 8 + -5x + 5x Combine like terms: -6x + 5x = -1x 15 + -1x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 15 + -1x = 8 + 0 15 + -1x = 8 Add '-15' to each side of the equation. 15 + -15 + -1x = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 8 + -15 -1x = 8 + -15 Combine like terms: 8 + -15 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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