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Simplifying 3(-2x + 7) = 2(-3x + 5) + 11 Reorder the terms: 3(7 + -2x) = 2(-3x + 5) + 11 (7 * 3 + -2x * 3) = 2(-3x + 5) + 11 (21 + -6x) = 2(-3x + 5) + 11 Reorder the terms: 21 + -6x = 2(5 + -3x) + 11 21 + -6x = (5 * 2 + -3x * 2) + 11 21 + -6x = (10 + -6x) + 11 Reorder the terms: 21 + -6x = 10 + 11 + -6x Combine like terms: 10 + 11 = 21 21 + -6x = 21 + -6x Add '-21' to each side of the equation. 21 + -21 + -6x = 21 + -21 + -6x Combine like terms: 21 + -21 = 0 0 + -6x = 21 + -21 + -6x -6x = 21 + -21 + -6x Combine like terms: 21 + -21 = 0 -6x = 0 + -6x -6x = -6x Add '6x' to each side of the equation. -6x + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 0 = -6x + 6x Combine like terms: -6x + 6x = 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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