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Simplifying 5(x + -4) + 9 = 9x + -1(4x + 6) + -5 Reorder the terms: 5(-4 + x) + 9 = 9x + -1(4x + 6) + -5 (-4 * 5 + x * 5) + 9 = 9x + -1(4x + 6) + -5 (-20 + 5x) + 9 = 9x + -1(4x + 6) + -5 Reorder the terms: -20 + 9 + 5x = 9x + -1(4x + 6) + -5 Combine like terms: -20 + 9 = -11 -11 + 5x = 9x + -1(4x + 6) + -5 Reorder the terms: -11 + 5x = 9x + -1(6 + 4x) + -5 -11 + 5x = 9x + (6 * -1 + 4x * -1) + -5 -11 + 5x = 9x + (-6 + -4x) + -5 Reorder the terms: -11 + 5x = -6 + -5 + 9x + -4x Combine like terms: -6 + -5 = -11 -11 + 5x = -11 + 9x + -4x Combine like terms: 9x + -4x = 5x -11 + 5x = -11 + 5x Add '11' to each side of the equation. -11 + 11 + 5x = -11 + 11 + 5x Combine like terms: -11 + 11 = 0 0 + 5x = -11 + 11 + 5x 5x = -11 + 11 + 5x Combine like terms: -11 + 11 = 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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