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Simplifying 11x + -21 = 2(4x + -7) + 3x + -7 Reorder the terms: -21 + 11x = 2(4x + -7) + 3x + -7 Reorder the terms: -21 + 11x = 2(-7 + 4x) + 3x + -7 -21 + 11x = (-7 * 2 + 4x * 2) + 3x + -7 -21 + 11x = (-14 + 8x) + 3x + -7 Reorder the terms: -21 + 11x = -14 + -7 + 8x + 3x Combine like terms: -14 + -7 = -21 -21 + 11x = -21 + 8x + 3x Combine like terms: 8x + 3x = 11x -21 + 11x = -21 + 11x Add '21' to each side of the equation. -21 + 21 + 11x = -21 + 21 + 11x Combine like terms: -21 + 21 = 0 0 + 11x = -21 + 21 + 11x 11x = -21 + 21 + 11x Combine like terms: -21 + 21 = 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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