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Simplifying 38x + -24 = 7(5x + -3) + 3x + -3 Reorder the terms: -24 + 38x = 7(5x + -3) + 3x + -3 Reorder the terms: -24 + 38x = 7(-3 + 5x) + 3x + -3 -24 + 38x = (-3 * 7 + 5x * 7) + 3x + -3 -24 + 38x = (-21 + 35x) + 3x + -3 Reorder the terms: -24 + 38x = -21 + -3 + 35x + 3x Combine like terms: -21 + -3 = -24 -24 + 38x = -24 + 35x + 3x Combine like terms: 35x + 3x = 38x -24 + 38x = -24 + 38x Add '24' to each side of the equation. -24 + 24 + 38x = -24 + 24 + 38x Combine like terms: -24 + 24 = 0 0 + 38x = -24 + 24 + 38x 38x = -24 + 24 + 38x Combine like terms: -24 + 24 = 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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