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Simplifying 10[3 + -1(2 + -3x)] + 5x = 5(7x + 4) + -10 10[3 + (2 * -1 + -3x * -1)] + 5x = 5(7x + 4) + -10 10[3 + (-2 + 3x)] + 5x = 5(7x + 4) + -10 Combine like terms: 3 + -2 = 1 10[1 + 3x] + 5x = 5(7x + 4) + -10 [1 * 10 + 3x * 10] + 5x = 5(7x + 4) + -10 [10 + 30x] + 5x = 5(7x + 4) + -10 Combine like terms: 30x + 5x = 35x 10 + 35x = 5(7x + 4) + -10 Reorder the terms: 10 + 35x = 5(4 + 7x) + -10 10 + 35x = (4 * 5 + 7x * 5) + -10 10 + 35x = (20 + 35x) + -10 Reorder the terms: 10 + 35x = 20 + -10 + 35x Combine like terms: 20 + -10 = 10 10 + 35x = 10 + 35x Add '-10' to each side of the equation. 10 + -10 + 35x = 10 + -10 + 35x Combine like terms: 10 + -10 = 0 0 + 35x = 10 + -10 + 35x 35x = 10 + -10 + 35x Combine like terms: 10 + -10 = 0 35x = 0 + 35x 35x = 35x Add '-35x' to each side of the equation. 35x + -35x = 35x + -35x Combine like terms: 35x + -35x = 0 0 = 35x + -35x Combine like terms: 35x + -35x = 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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