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Simplifying 8x + 13 = 9x + 10 Reorder the terms: 13 + 8x = 9x + 10 Reorder the terms: 13 + 8x = 10 + 9x Solving 13 + 8x = 10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 13 + 8x + -9x = 10 + 9x + -9x Combine like terms: 8x + -9x = -1x 13 + -1x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 13 + -1x = 10 + 0 13 + -1x = 10 Add '-13' to each side of the equation. 13 + -13 + -1x = 10 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 10 + -13 -1x = 10 + -13 Combine like terms: 10 + -13 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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