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Simplifying 3(x + -2) + 2x = 5(x + 5) + -31 Reorder the terms: 3(-2 + x) + 2x = 5(x + 5) + -31 (-2 * 3 + x * 3) + 2x = 5(x + 5) + -31 (-6 + 3x) + 2x = 5(x + 5) + -31 Combine like terms: 3x + 2x = 5x -6 + 5x = 5(x + 5) + -31 Reorder the terms: -6 + 5x = 5(5 + x) + -31 -6 + 5x = (5 * 5 + x * 5) + -31 -6 + 5x = (25 + 5x) + -31 Reorder the terms: -6 + 5x = 25 + -31 + 5x Combine like terms: 25 + -31 = -6 -6 + 5x = -6 + 5x Add '6' to each side of the equation. -6 + 6 + 5x = -6 + 6 + 5x Combine like terms: -6 + 6 = 0 0 + 5x = -6 + 6 + 5x 5x = -6 + 6 + 5x Combine like terms: -6 + 6 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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