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Simplifying 38x + -12 = 7(5x + -2) + 3x + 2 Reorder the terms: -12 + 38x = 7(5x + -2) + 3x + 2 Reorder the terms: -12 + 38x = 7(-2 + 5x) + 3x + 2 -12 + 38x = (-2 * 7 + 5x * 7) + 3x + 2 -12 + 38x = (-14 + 35x) + 3x + 2 Reorder the terms: -12 + 38x = -14 + 2 + 35x + 3x Combine like terms: -14 + 2 = -12 -12 + 38x = -12 + 35x + 3x Combine like terms: 35x + 3x = 38x -12 + 38x = -12 + 38x Add '12' to each side of the equation. -12 + 12 + 38x = -12 + 12 + 38x Combine like terms: -12 + 12 = 0 0 + 38x = -12 + 12 + 38x 38x = -12 + 12 + 38x Combine like terms: -12 + 12 = 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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