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Simplifying 10x + -13 = 9x + 7 Reorder the terms: -13 + 10x = 9x + 7 Reorder the terms: -13 + 10x = 7 + 9x Solving -13 + 10x = 7 + 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 + 10x + -9x = 7 + 9x + -9x Combine like terms: 10x + -9x = 1x -13 + 1x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 -13 + 1x = 7 + 0 -13 + 1x = 7 Add '13' to each side of the equation. -13 + 13 + 1x = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 7 + 13 1x = 7 + 13 Combine like terms: 7 + 13 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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