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Simplifying 2x + -13 = 10x + 9 Reorder the terms: -13 + 2x = 10x + 9 Reorder the terms: -13 + 2x = 9 + 10x Solving -13 + 2x = 9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -13 + 2x + -10x = 9 + 10x + -10x Combine like terms: 2x + -10x = -8x -13 + -8x = 9 + 10x + -10x Combine like terms: 10x + -10x = 0 -13 + -8x = 9 + 0 -13 + -8x = 9 Add '13' to each side of the equation. -13 + 13 + -8x = 9 + 13 Combine like terms: -13 + 13 = 0 0 + -8x = 9 + 13 -8x = 9 + 13 Combine like terms: 9 + 13 = 22 -8x = 22 Divide each side by '-8'. x = -2.75 Simplifying x = -2.75
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