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Simplifying 7x + 15 + -5x + -10 = 3x + -17 + 10x Reorder the terms: 15 + -10 + 7x + -5x = 3x + -17 + 10x Combine like terms: 15 + -10 = 5 5 + 7x + -5x = 3x + -17 + 10x Combine like terms: 7x + -5x = 2x 5 + 2x = 3x + -17 + 10x Reorder the terms: 5 + 2x = -17 + 3x + 10x Combine like terms: 3x + 10x = 13x 5 + 2x = -17 + 13x Solving 5 + 2x = -17 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 5 + 2x + -13x = -17 + 13x + -13x Combine like terms: 2x + -13x = -11x 5 + -11x = -17 + 13x + -13x Combine like terms: 13x + -13x = 0 5 + -11x = -17 + 0 5 + -11x = -17 Add '-5' to each side of the equation. 5 + -5 + -11x = -17 + -5 Combine like terms: 5 + -5 = 0 0 + -11x = -17 + -5 -11x = -17 + -5 Combine like terms: -17 + -5 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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