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Simplifying 9[3 + -1(2 + -2x)] + 6x = 3(8x + 5) + -6 9[3 + (2 * -1 + -2x * -1)] + 6x = 3(8x + 5) + -6 9[3 + (-2 + 2x)] + 6x = 3(8x + 5) + -6 Combine like terms: 3 + -2 = 1 9[1 + 2x] + 6x = 3(8x + 5) + -6 [1 * 9 + 2x * 9] + 6x = 3(8x + 5) + -6 [9 + 18x] + 6x = 3(8x + 5) + -6 Combine like terms: 18x + 6x = 24x 9 + 24x = 3(8x + 5) + -6 Reorder the terms: 9 + 24x = 3(5 + 8x) + -6 9 + 24x = (5 * 3 + 8x * 3) + -6 9 + 24x = (15 + 24x) + -6 Reorder the terms: 9 + 24x = 15 + -6 + 24x Combine like terms: 15 + -6 = 9 9 + 24x = 9 + 24x Add '-9' to each side of the equation. 9 + -9 + 24x = 9 + -9 + 24x Combine like terms: 9 + -9 = 0 0 + 24x = 9 + -9 + 24x 24x = 9 + -9 + 24x Combine like terms: 9 + -9 = 0 24x = 0 + 24x 24x = 24x Add '-24x' to each side of the equation. 24x + -24x = 24x + -24x Combine like terms: 24x + -24x = 0 0 = 24x + -24x Combine like terms: 24x + -24x = 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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