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Simplifying (3x + -2) * 5 = (5x + -1) * 3 + -7 Reorder the terms: (-2 + 3x) * 5 = (5x + -1) * 3 + -7 Reorder the terms for easier multiplication: 5(-2 + 3x) = (5x + -1) * 3 + -7 (-2 * 5 + 3x * 5) = (5x + -1) * 3 + -7 (-10 + 15x) = (5x + -1) * 3 + -7 Reorder the terms: -10 + 15x = (-1 + 5x) * 3 + -7 Reorder the terms for easier multiplication: -10 + 15x = 3(-1 + 5x) + -7 -10 + 15x = (-1 * 3 + 5x * 3) + -7 -10 + 15x = (-3 + 15x) + -7 Reorder the terms: -10 + 15x = -3 + -7 + 15x Combine like terms: -3 + -7 = -10 -10 + 15x = -10 + 15x Add '10' to each side of the equation. -10 + 10 + 15x = -10 + 10 + 15x Combine like terms: -10 + 10 = 0 0 + 15x = -10 + 10 + 15x 15x = -10 + 10 + 15x Combine like terms: -10 + 10 = 0 15x = 0 + 15x 15x = 15x Add '-15x' to each side of the equation. 15x + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 0 = 15x + -15x Combine like terms: 15x + -15x = 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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