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Simplifying 11[5 + -1(4 + -1x)] + 9x = 4(5x + 4) + -5 11[5 + (4 * -1 + -1x * -1)] + 9x = 4(5x + 4) + -5 11[5 + (-4 + 1x)] + 9x = 4(5x + 4) + -5 Combine like terms: 5 + -4 = 1 11[1 + 1x] + 9x = 4(5x + 4) + -5 [1 * 11 + 1x * 11] + 9x = 4(5x + 4) + -5 [11 + 11x] + 9x = 4(5x + 4) + -5 Combine like terms: 11x + 9x = 20x 11 + 20x = 4(5x + 4) + -5 Reorder the terms: 11 + 20x = 4(4 + 5x) + -5 11 + 20x = (4 * 4 + 5x * 4) + -5 11 + 20x = (16 + 20x) + -5 Reorder the terms: 11 + 20x = 16 + -5 + 20x Combine like terms: 16 + -5 = 11 11 + 20x = 11 + 20x Add '-11' to each side of the equation. 11 + -11 + 20x = 11 + -11 + 20x Combine like terms: 11 + -11 = 0 0 + 20x = 11 + -11 + 20x 20x = 11 + -11 + 20x Combine like terms: 11 + -11 = 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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