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Simplifying -5x + 17 = x + -6(x + 3) Reorder the terms: 17 + -5x = x + -6(x + 3) Reorder the terms: 17 + -5x = x + -6(3 + x) 17 + -5x = x + (3 * -6 + x * -6) 17 + -5x = x + (-18 + -6x) Reorder the terms: 17 + -5x = -18 + x + -6x Combine like terms: x + -6x = -5x 17 + -5x = -18 + -5x Add '5x' to each side of the equation. 17 + -5x + 5x = -18 + -5x + 5x Combine like terms: -5x + 5x = 0 17 + 0 = -18 + -5x + 5x 17 = -18 + -5x + 5x Combine like terms: -5x + 5x = 0 17 = -18 + 0 17 = -18 Solving 17 = -18 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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