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