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Simplifying 13x + 2 + -9x + -5 = 5x + -10 Reorder the terms: 2 + -5 + 13x + -9x = 5x + -10 Combine like terms: 2 + -5 = -3 -3 + 13x + -9x = 5x + -10 Combine like terms: 13x + -9x = 4x -3 + 4x = 5x + -10 Reorder the terms: -3 + 4x = -10 + 5x Solving -3 + 4x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 4x + -5x = -10 + 5x + -5x Combine like terms: 4x + -5x = -1x -3 + -1x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -1x = -10 + 0 -3 + -1x = -10 Add '3' to each side of the equation. -3 + 3 + -1x = -10 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -10 + 3 -1x = -10 + 3 Combine like terms: -10 + 3 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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