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Simplifying 2(x + -7) + 6 = 5x + -1(3x + 6) + -2 Reorder the terms: 2(-7 + x) + 6 = 5x + -1(3x + 6) + -2 (-7 * 2 + x * 2) + 6 = 5x + -1(3x + 6) + -2 (-14 + 2x) + 6 = 5x + -1(3x + 6) + -2 Reorder the terms: -14 + 6 + 2x = 5x + -1(3x + 6) + -2 Combine like terms: -14 + 6 = -8 -8 + 2x = 5x + -1(3x + 6) + -2 Reorder the terms: -8 + 2x = 5x + -1(6 + 3x) + -2 -8 + 2x = 5x + (6 * -1 + 3x * -1) + -2 -8 + 2x = 5x + (-6 + -3x) + -2 Reorder the terms: -8 + 2x = -6 + -2 + 5x + -3x Combine like terms: -6 + -2 = -8 -8 + 2x = -8 + 5x + -3x Combine like terms: 5x + -3x = 2x -8 + 2x = -8 + 2x Add '8' to each side of the equation. -8 + 8 + 2x = -8 + 8 + 2x Combine like terms: -8 + 8 = 0 0 + 2x = -8 + 8 + 2x 2x = -8 + 8 + 2x Combine like terms: -8 + 8 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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