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Simplifying 38x + -42 = 5(7x + -9) + 3x + 3 Reorder the terms: -42 + 38x = 5(7x + -9) + 3x + 3 Reorder the terms: -42 + 38x = 5(-9 + 7x) + 3x + 3 -42 + 38x = (-9 * 5 + 7x * 5) + 3x + 3 -42 + 38x = (-45 + 35x) + 3x + 3 Reorder the terms: -42 + 38x = -45 + 3 + 35x + 3x Combine like terms: -45 + 3 = -42 -42 + 38x = -42 + 35x + 3x Combine like terms: 35x + 3x = 38x -42 + 38x = -42 + 38x Add '42' to each side of the equation. -42 + 42 + 38x = -42 + 42 + 38x Combine like terms: -42 + 42 = 0 0 + 38x = -42 + 42 + 38x 38x = -42 + 42 + 38x Combine like terms: -42 + 42 = 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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