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Simplifying 5(-1 + 2x) + -6 = 17 + -4x (-1 * 5 + 2x * 5) + -6 = 17 + -4x (-5 + 10x) + -6 = 17 + -4x Reorder the terms: -5 + -6 + 10x = 17 + -4x Combine like terms: -5 + -6 = -11 -11 + 10x = 17 + -4x Solving -11 + 10x = 17 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -11 + 10x + 4x = 17 + -4x + 4x Combine like terms: 10x + 4x = 14x -11 + 14x = 17 + -4x + 4x Combine like terms: -4x + 4x = 0 -11 + 14x = 17 + 0 -11 + 14x = 17 Add '11' to each side of the equation. -11 + 11 + 14x = 17 + 11 Combine like terms: -11 + 11 = 0 0 + 14x = 17 + 11 14x = 17 + 11 Combine like terms: 17 + 11 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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