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Simplifying 9(x + -3) + -4x = 5(x + -5) + -2 Reorder the terms: 9(-3 + x) + -4x = 5(x + -5) + -2 (-3 * 9 + x * 9) + -4x = 5(x + -5) + -2 (-27 + 9x) + -4x = 5(x + -5) + -2 Combine like terms: 9x + -4x = 5x -27 + 5x = 5(x + -5) + -2 Reorder the terms: -27 + 5x = 5(-5 + x) + -2 -27 + 5x = (-5 * 5 + x * 5) + -2 -27 + 5x = (-25 + 5x) + -2 Reorder the terms: -27 + 5x = -25 + -2 + 5x Combine like terms: -25 + -2 = -27 -27 + 5x = -27 + 5x Add '27' to each side of the equation. -27 + 27 + 5x = -27 + 27 + 5x Combine like terms: -27 + 27 = 0 0 + 5x = -27 + 27 + 5x 5x = -27 + 27 + 5x Combine like terms: -27 + 27 = 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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