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Simplifying 19[5 + -1(4 + -1x)] + x = 4(5x + 5) + -1 19[5 + (4 * -1 + -1x * -1)] + x = 4(5x + 5) + -1 19[5 + (-4 + 1x)] + x = 4(5x + 5) + -1 Combine like terms: 5 + -4 = 1 19[1 + 1x] + x = 4(5x + 5) + -1 [1 * 19 + 1x * 19] + x = 4(5x + 5) + -1 [19 + 19x] + x = 4(5x + 5) + -1 Combine like terms: 19x + x = 20x 19 + 20x = 4(5x + 5) + -1 Reorder the terms: 19 + 20x = 4(5 + 5x) + -1 19 + 20x = (5 * 4 + 5x * 4) + -1 19 + 20x = (20 + 20x) + -1 Reorder the terms: 19 + 20x = 20 + -1 + 20x Combine like terms: 20 + -1 = 19 19 + 20x = 19 + 20x Add '-19' to each side of the equation. 19 + -19 + 20x = 19 + -19 + 20x Combine like terms: 19 + -19 = 0 0 + 20x = 19 + -19 + 20x 20x = 19 + -19 + 20x Combine like terms: 19 + -19 = 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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