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Simplifying 3x + -5(2x + -1) = 5x + 17 Reorder the terms: 3x + -5(-1 + 2x) = 5x + 17 3x + (-1 * -5 + 2x * -5) = 5x + 17 3x + (5 + -10x) = 5x + 17 Reorder the terms: 5 + 3x + -10x = 5x + 17 Combine like terms: 3x + -10x = -7x 5 + -7x = 5x + 17 Reorder the terms: 5 + -7x = 17 + 5x Solving 5 + -7x = 17 + 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. 5 + -7x + -5x = 17 + 5x + -5x Combine like terms: -7x + -5x = -12x 5 + -12x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -12x = 17 + 0 5 + -12x = 17 Add '-5' to each side of the equation. 5 + -5 + -12x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = 17 + -5 -12x = 17 + -5 Combine like terms: 17 + -5 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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