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Simplifying 5(5x + -4) + -4(3x + -6) = 13x + 4 Reorder the terms: 5(-4 + 5x) + -4(3x + -6) = 13x + 4 (-4 * 5 + 5x * 5) + -4(3x + -6) = 13x + 4 (-20 + 25x) + -4(3x + -6) = 13x + 4 Reorder the terms: -20 + 25x + -4(-6 + 3x) = 13x + 4 -20 + 25x + (-6 * -4 + 3x * -4) = 13x + 4 -20 + 25x + (24 + -12x) = 13x + 4 Reorder the terms: -20 + 24 + 25x + -12x = 13x + 4 Combine like terms: -20 + 24 = 4 4 + 25x + -12x = 13x + 4 Combine like terms: 25x + -12x = 13x 4 + 13x = 13x + 4 Reorder the terms: 4 + 13x = 4 + 13x Add '-4' to each side of the equation. 4 + -4 + 13x = 4 + -4 + 13x Combine like terms: 4 + -4 = 0 0 + 13x = 4 + -4 + 13x 13x = 4 + -4 + 13x Combine like terms: 4 + -4 = 0 13x = 0 + 13x 13x = 13x Add '-13x' to each side of the equation. 13x + -13x = 13x + -13x Combine like terms: 13x + -13x = 0 0 = 13x + -13x Combine like terms: 13x + -13x = 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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