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Simplifying 6x + -5(2x + -1) = 5x + 17 Reorder the terms: 6x + -5(-1 + 2x) = 5x + 17 6x + (-1 * -5 + 2x * -5) = 5x + 17 6x + (5 + -10x) = 5x + 17 Reorder the terms: 5 + 6x + -10x = 5x + 17 Combine like terms: 6x + -10x = -4x 5 + -4x = 5x + 17 Reorder the terms: 5 + -4x = 17 + 5x Solving 5 + -4x = 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 + -4x + -5x = 17 + 5x + -5x Combine like terms: -4x + -5x = -9x 5 + -9x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -9x = 17 + 0 5 + -9x = 17 Add '-5' to each side of the equation. 5 + -5 + -9x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 17 + -5 -9x = 17 + -5 Combine like terms: 17 + -5 = 12 -9x = 12 Divide each side by '-9'. x = -1.333333333 Simplifying x = -1.333333333
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