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Simplifying 5(2x + -1) + x + 17 = 5x + 6(x + 2) Reorder the terms: 5(-1 + 2x) + x + 17 = 5x + 6(x + 2) (-1 * 5 + 2x * 5) + x + 17 = 5x + 6(x + 2) (-5 + 10x) + x + 17 = 5x + 6(x + 2) Reorder the terms: -5 + 17 + 10x + x = 5x + 6(x + 2) Combine like terms: -5 + 17 = 12 12 + 10x + x = 5x + 6(x + 2) Combine like terms: 10x + x = 11x 12 + 11x = 5x + 6(x + 2) Reorder the terms: 12 + 11x = 5x + 6(2 + x) 12 + 11x = 5x + (2 * 6 + x * 6) 12 + 11x = 5x + (12 + 6x) Reorder the terms: 12 + 11x = 12 + 5x + 6x Combine like terms: 5x + 6x = 11x 12 + 11x = 12 + 11x Add '-12' to each side of the equation. 12 + -12 + 11x = 12 + -12 + 11x Combine like terms: 12 + -12 = 0 0 + 11x = 12 + -12 + 11x 11x = 12 + -12 + 11x Combine like terms: 12 + -12 = 0 11x = 0 + 11x 11x = 11x Add '-11x' to each side of the equation. 11x + -11x = 11x + -11x Combine like terms: 11x + -11x = 0 0 = 11x + -11x Combine like terms: 11x + -11x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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