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Simplifying 19x + -21 = 2(6x + -7) + 7x + -7 Reorder the terms: -21 + 19x = 2(6x + -7) + 7x + -7 Reorder the terms: -21 + 19x = 2(-7 + 6x) + 7x + -7 -21 + 19x = (-7 * 2 + 6x * 2) + 7x + -7 -21 + 19x = (-14 + 12x) + 7x + -7 Reorder the terms: -21 + 19x = -14 + -7 + 12x + 7x Combine like terms: -14 + -7 = -21 -21 + 19x = -21 + 12x + 7x Combine like terms: 12x + 7x = 19x -21 + 19x = -21 + 19x Add '21' to each side of the equation. -21 + 21 + 19x = -21 + 21 + 19x Combine like terms: -21 + 21 = 0 0 + 19x = -21 + 21 + 19x 19x = -21 + 21 + 19x Combine like terms: -21 + 21 = 0 19x = 0 + 19x 19x = 19x Add '-19x' to each side of the equation. 19x + -19x = 19x + -19x Combine like terms: 19x + -19x = 0 0 = 19x + -19x Combine like terms: 19x + -19x = 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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