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Simplifying -7(2x + 1) = 5(-3x + -1) + x + -2 Reorder the terms: -7(1 + 2x) = 5(-3x + -1) + x + -2 (1 * -7 + 2x * -7) = 5(-3x + -1) + x + -2 (-7 + -14x) = 5(-3x + -1) + x + -2 Reorder the terms: -7 + -14x = 5(-1 + -3x) + x + -2 -7 + -14x = (-1 * 5 + -3x * 5) + x + -2 -7 + -14x = (-5 + -15x) + x + -2 Reorder the terms: -7 + -14x = -5 + -2 + -15x + x Combine like terms: -5 + -2 = -7 -7 + -14x = -7 + -15x + x Combine like terms: -15x + x = -14x -7 + -14x = -7 + -14x Add '7' to each side of the equation. -7 + 7 + -14x = -7 + 7 + -14x Combine like terms: -7 + 7 = 0 0 + -14x = -7 + 7 + -14x -14x = -7 + 7 + -14x Combine like terms: -7 + 7 = 0 -14x = 0 + -14x -14x = -14x Add '14x' to each side of the equation. -14x + 14x = -14x + 14x Combine like terms: -14x + 14x = 0 0 = -14x + 14x Combine like terms: -14x + 14x = 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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