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Simplifying 38x + 18 = 5(7x + 5) + 3x + -7 Reorder the terms: 18 + 38x = 5(7x + 5) + 3x + -7 Reorder the terms: 18 + 38x = 5(5 + 7x) + 3x + -7 18 + 38x = (5 * 5 + 7x * 5) + 3x + -7 18 + 38x = (25 + 35x) + 3x + -7 Reorder the terms: 18 + 38x = 25 + -7 + 35x + 3x Combine like terms: 25 + -7 = 18 18 + 38x = 18 + 35x + 3x Combine like terms: 35x + 3x = 38x 18 + 38x = 18 + 38x Add '-18' to each side of the equation. 18 + -18 + 38x = 18 + -18 + 38x Combine like terms: 18 + -18 = 0 0 + 38x = 18 + -18 + 38x 38x = 18 + -18 + 38x Combine like terms: 18 + -18 = 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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