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Simplifying 9[3 + -1(2 + -1x)] + 6x = 3(5x + 5) + -6 9[3 + (2 * -1 + -1x * -1)] + 6x = 3(5x + 5) + -6 9[3 + (-2 + 1x)] + 6x = 3(5x + 5) + -6 Combine like terms: 3 + -2 = 1 9[1 + 1x] + 6x = 3(5x + 5) + -6 [1 * 9 + 1x * 9] + 6x = 3(5x + 5) + -6 [9 + 9x] + 6x = 3(5x + 5) + -6 Combine like terms: 9x + 6x = 15x 9 + 15x = 3(5x + 5) + -6 Reorder the terms: 9 + 15x = 3(5 + 5x) + -6 9 + 15x = (5 * 3 + 5x * 3) + -6 9 + 15x = (15 + 15x) + -6 Reorder the terms: 9 + 15x = 15 + -6 + 15x Combine like terms: 15 + -6 = 9 9 + 15x = 9 + 15x Add '-9' to each side of the equation. 9 + -9 + 15x = 9 + -9 + 15x Combine like terms: 9 + -9 = 0 0 + 15x = 9 + -9 + 15x 15x = 9 + -9 + 15x Combine like terms: 9 + -9 = 0 15x = 0 + 15x 15x = 15x Add '-15x' to each side of the equation. 15x + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 0 = 15x + -15x Combine like terms: 15x + -15x = 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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