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Simplifying 3x + 2 + 5(x + -1) = 10x + 17 Reorder the terms: 3x + 2 + 5(-1 + x) = 10x + 17 3x + 2 + (-1 * 5 + x * 5) = 10x + 17 3x + 2 + (-5 + 5x) = 10x + 17 Reorder the terms: 2 + -5 + 3x + 5x = 10x + 17 Combine like terms: 2 + -5 = -3 -3 + 3x + 5x = 10x + 17 Combine like terms: 3x + 5x = 8x -3 + 8x = 10x + 17 Reorder the terms: -3 + 8x = 17 + 10x Solving -3 + 8x = 17 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -3 + 8x + -10x = 17 + 10x + -10x Combine like terms: 8x + -10x = -2x -3 + -2x = 17 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + -2x = 17 + 0 -3 + -2x = 17 Add '3' to each side of the equation. -3 + 3 + -2x = 17 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 17 + 3 -2x = 17 + 3 Combine like terms: 17 + 3 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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