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Simplifying 3(5x + -2) + 5(2x + -3) = 25x + -21 Reorder the terms: 3(-2 + 5x) + 5(2x + -3) = 25x + -21 (-2 * 3 + 5x * 3) + 5(2x + -3) = 25x + -21 (-6 + 15x) + 5(2x + -3) = 25x + -21 Reorder the terms: -6 + 15x + 5(-3 + 2x) = 25x + -21 -6 + 15x + (-3 * 5 + 2x * 5) = 25x + -21 -6 + 15x + (-15 + 10x) = 25x + -21 Reorder the terms: -6 + -15 + 15x + 10x = 25x + -21 Combine like terms: -6 + -15 = -21 -21 + 15x + 10x = 25x + -21 Combine like terms: 15x + 10x = 25x -21 + 25x = 25x + -21 Reorder the terms: -21 + 25x = -21 + 25x Add '21' to each side of the equation. -21 + 21 + 25x = -21 + 21 + 25x Combine like terms: -21 + 21 = 0 0 + 25x = -21 + 21 + 25x 25x = -21 + 21 + 25x Combine like terms: -21 + 21 = 0 25x = 0 + 25x 25x = 25x Add '-25x' to each side of the equation. 25x + -25x = 25x + -25x Combine like terms: 25x + -25x = 0 0 = 25x + -25x Combine like terms: 25x + -25x = 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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