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Simplifying 10[5 + -1(4 + -1x)] + 5x = 3(5x + 4) + -2 10[5 + (4 * -1 + -1x * -1)] + 5x = 3(5x + 4) + -2 10[5 + (-4 + 1x)] + 5x = 3(5x + 4) + -2 Combine like terms: 5 + -4 = 1 10[1 + 1x] + 5x = 3(5x + 4) + -2 [1 * 10 + 1x * 10] + 5x = 3(5x + 4) + -2 [10 + 10x] + 5x = 3(5x + 4) + -2 Combine like terms: 10x + 5x = 15x 10 + 15x = 3(5x + 4) + -2 Reorder the terms: 10 + 15x = 3(4 + 5x) + -2 10 + 15x = (4 * 3 + 5x * 3) + -2 10 + 15x = (12 + 15x) + -2 Reorder the terms: 10 + 15x = 12 + -2 + 15x Combine like terms: 12 + -2 = 10 10 + 15x = 10 + 15x Add '-10' to each side of the equation. 10 + -10 + 15x = 10 + -10 + 15x Combine like terms: 10 + -10 = 0 0 + 15x = 10 + -10 + 15x 15x = 10 + -10 + 15x Combine like terms: 10 + -10 = 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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