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Simplifying 10x + 17 = -13 + -5x Reorder the terms: 17 + 10x = -13 + -5x Solving 17 + 10x = -13 + -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. 17 + 10x + 5x = -13 + -5x + 5x Combine like terms: 10x + 5x = 15x 17 + 15x = -13 + -5x + 5x Combine like terms: -5x + 5x = 0 17 + 15x = -13 + 0 17 + 15x = -13 Add '-17' to each side of the equation. 17 + -17 + 15x = -13 + -17 Combine like terms: 17 + -17 = 0 0 + 15x = -13 + -17 15x = -13 + -17 Combine like terms: -13 + -17 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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