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Simplifying 10x + -17 = 2 + -1(7x + -15) Reorder the terms: -17 + 10x = 2 + -1(7x + -15) Reorder the terms: -17 + 10x = 2 + -1(-15 + 7x) -17 + 10x = 2 + (-15 * -1 + 7x * -1) -17 + 10x = 2 + (15 + -7x) Combine like terms: 2 + 15 = 17 -17 + 10x = 17 + -7x Solving -17 + 10x = 17 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -17 + 10x + 7x = 17 + -7x + 7x Combine like terms: 10x + 7x = 17x -17 + 17x = 17 + -7x + 7x Combine like terms: -7x + 7x = 0 -17 + 17x = 17 + 0 -17 + 17x = 17 Add '17' to each side of the equation. -17 + 17 + 17x = 17 + 17 Combine like terms: -17 + 17 = 0 0 + 17x = 17 + 17 17x = 17 + 17 Combine like terms: 17 + 17 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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