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Simplifying 3(7x + -5) + 10x = 5(5x + 1) + 6x + -20 Reorder the terms: 3(-5 + 7x) + 10x = 5(5x + 1) + 6x + -20 (-5 * 3 + 7x * 3) + 10x = 5(5x + 1) + 6x + -20 (-15 + 21x) + 10x = 5(5x + 1) + 6x + -20 Combine like terms: 21x + 10x = 31x -15 + 31x = 5(5x + 1) + 6x + -20 Reorder the terms: -15 + 31x = 5(1 + 5x) + 6x + -20 -15 + 31x = (1 * 5 + 5x * 5) + 6x + -20 -15 + 31x = (5 + 25x) + 6x + -20 Reorder the terms: -15 + 31x = 5 + -20 + 25x + 6x Combine like terms: 5 + -20 = -15 -15 + 31x = -15 + 25x + 6x Combine like terms: 25x + 6x = 31x -15 + 31x = -15 + 31x Add '15' to each side of the equation. -15 + 15 + 31x = -15 + 15 + 31x Combine like terms: -15 + 15 = 0 0 + 31x = -15 + 15 + 31x 31x = -15 + 15 + 31x Combine like terms: -15 + 15 = 0 31x = 0 + 31x 31x = 31x Add '-31x' to each side of the equation. 31x + -31x = 31x + -31x Combine like terms: 31x + -31x = 0 0 = 31x + -31x Combine like terms: 31x + -31x = 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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