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Simplifying 10x + -17 = 5(x + 1) + -7 Reorder the terms: -17 + 10x = 5(x + 1) + -7 Reorder the terms: -17 + 10x = 5(1 + x) + -7 -17 + 10x = (1 * 5 + x * 5) + -7 -17 + 10x = (5 + 5x) + -7 Reorder the terms: -17 + 10x = 5 + -7 + 5x Combine like terms: 5 + -7 = -2 -17 + 10x = -2 + 5x Solving -17 + 10x = -2 + 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 = -2 + 5x + -5x Combine like terms: 10x + -5x = 5x -17 + 5x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -17 + 5x = -2 + 0 -17 + 5x = -2 Add '17' to each side of the equation. -17 + 17 + 5x = -2 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = -2 + 17 5x = -2 + 17 Combine like terms: -2 + 17 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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