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Simplifying 15[5 + -1(4 + -1x)] + 5x = 4(5x + 4) + -1 15[5 + (4 * -1 + -1x * -1)] + 5x = 4(5x + 4) + -1 15[5 + (-4 + 1x)] + 5x = 4(5x + 4) + -1 Combine like terms: 5 + -4 = 1 15[1 + 1x] + 5x = 4(5x + 4) + -1 [1 * 15 + 1x * 15] + 5x = 4(5x + 4) + -1 [15 + 15x] + 5x = 4(5x + 4) + -1 Combine like terms: 15x + 5x = 20x 15 + 20x = 4(5x + 4) + -1 Reorder the terms: 15 + 20x = 4(4 + 5x) + -1 15 + 20x = (4 * 4 + 5x * 4) + -1 15 + 20x = (16 + 20x) + -1 Reorder the terms: 15 + 20x = 16 + -1 + 20x Combine like terms: 16 + -1 = 15 15 + 20x = 15 + 20x Add '-15' to each side of the equation. 15 + -15 + 20x = 15 + -15 + 20x Combine like terms: 15 + -15 = 0 0 + 20x = 15 + -15 + 20x 20x = 15 + -15 + 20x Combine like terms: 15 + -15 = 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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