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Simplifying 7x + -13 = 8x + 2 Reorder the terms: -13 + 7x = 8x + 2 Reorder the terms: -13 + 7x = 2 + 8x Solving -13 + 7x = 2 + 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. -13 + 7x + -8x = 2 + 8x + -8x Combine like terms: 7x + -8x = -1x -13 + -1x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -13 + -1x = 2 + 0 -13 + -1x = 2 Add '13' to each side of the equation. -13 + 13 + -1x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 2 + 13 -1x = 2 + 13 Combine like terms: 2 + 13 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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