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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 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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