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Simplifying 5(-4x + -5) + 21 = -10(2x + -1) + -14 Reorder the terms: 5(-5 + -4x) + 21 = -10(2x + -1) + -14 (-5 * 5 + -4x * 5) + 21 = -10(2x + -1) + -14 (-25 + -20x) + 21 = -10(2x + -1) + -14 Reorder the terms: -25 + 21 + -20x = -10(2x + -1) + -14 Combine like terms: -25 + 21 = -4 -4 + -20x = -10(2x + -1) + -14 Reorder the terms: -4 + -20x = -10(-1 + 2x) + -14 -4 + -20x = (-1 * -10 + 2x * -10) + -14 -4 + -20x = (10 + -20x) + -14 Reorder the terms: -4 + -20x = 10 + -14 + -20x Combine like terms: 10 + -14 = -4 -4 + -20x = -4 + -20x Add '4' to each side of the equation. -4 + 4 + -20x = -4 + 4 + -20x Combine like terms: -4 + 4 = 0 0 + -20x = -4 + 4 + -20x -20x = -4 + 4 + -20x Combine like terms: -4 + 4 = 0 -20x = 0 + -20x -20x = -20x Add '20x' to each side of the equation. -20x + 20x = -20x + 20x Combine like terms: -20x + 20x = 0 0 = -20x + 20x Combine like terms: -20x + 20x = 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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