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Simplifying 6x + -13 = 9x + 10 Reorder the terms: -13 + 6x = 9x + 10 Reorder the terms: -13 + 6x = 10 + 9x Solving -13 + 6x = 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 + 6x + -9x = 10 + 9x + -9x Combine like terms: 6x + -9x = -3x -13 + -3x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 -13 + -3x = 10 + 0 -13 + -3x = 10 Add '13' to each side of the equation. -13 + 13 + -3x = 10 + 13 Combine like terms: -13 + 13 = 0 0 + -3x = 10 + 13 -3x = 10 + 13 Combine like terms: 10 + 13 = 23 -3x = 23 Divide each side by '-3'. x = -7.666666667 Simplifying x = -7.666666667
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