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Simplifying 38x + -13 = 5(7x + -1) + 3x + -8 Reorder the terms: -13 + 38x = 5(7x + -1) + 3x + -8 Reorder the terms: -13 + 38x = 5(-1 + 7x) + 3x + -8 -13 + 38x = (-1 * 5 + 7x * 5) + 3x + -8 -13 + 38x = (-5 + 35x) + 3x + -8 Reorder the terms: -13 + 38x = -5 + -8 + 35x + 3x Combine like terms: -5 + -8 = -13 -13 + 38x = -13 + 35x + 3x Combine like terms: 35x + 3x = 38x -13 + 38x = -13 + 38x Add '13' to each side of the equation. -13 + 13 + 38x = -13 + 13 + 38x Combine like terms: -13 + 13 = 0 0 + 38x = -13 + 13 + 38x 38x = -13 + 13 + 38x Combine like terms: -13 + 13 = 0 38x = 0 + 38x 38x = 38x Add '-38x' to each side of the equation. 38x + -38x = 38x + -38x Combine like terms: 38x + -38x = 0 0 = 38x + -38x Combine like terms: 38x + -38x = 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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