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Simplifying 5x + 3(2x + -6) = 9x + -18 + 2x Reorder the terms: 5x + 3(-6 + 2x) = 9x + -18 + 2x 5x + (-6 * 3 + 2x * 3) = 9x + -18 + 2x 5x + (-18 + 6x) = 9x + -18 + 2x Reorder the terms: -18 + 5x + 6x = 9x + -18 + 2x Combine like terms: 5x + 6x = 11x -18 + 11x = 9x + -18 + 2x Reorder the terms: -18 + 11x = -18 + 9x + 2x Combine like terms: 9x + 2x = 11x -18 + 11x = -18 + 11x Add '18' to each side of the equation. -18 + 18 + 11x = -18 + 18 + 11x Combine like terms: -18 + 18 = 0 0 + 11x = -18 + 18 + 11x 11x = -18 + 18 + 11x Combine like terms: -18 + 18 = 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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