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Simplifying 10[3 + -1(2 + -4x)] + 5x = 5(9x + 5) + -15 10[3 + (2 * -1 + -4x * -1)] + 5x = 5(9x + 5) + -15 10[3 + (-2 + 4x)] + 5x = 5(9x + 5) + -15 Combine like terms: 3 + -2 = 1 10[1 + 4x] + 5x = 5(9x + 5) + -15 [1 * 10 + 4x * 10] + 5x = 5(9x + 5) + -15 [10 + 40x] + 5x = 5(9x + 5) + -15 Combine like terms: 40x + 5x = 45x 10 + 45x = 5(9x + 5) + -15 Reorder the terms: 10 + 45x = 5(5 + 9x) + -15 10 + 45x = (5 * 5 + 9x * 5) + -15 10 + 45x = (25 + 45x) + -15 Reorder the terms: 10 + 45x = 25 + -15 + 45x Combine like terms: 25 + -15 = 10 10 + 45x = 10 + 45x Add '-10' to each side of the equation. 10 + -10 + 45x = 10 + -10 + 45x Combine like terms: 10 + -10 = 0 0 + 45x = 10 + -10 + 45x 45x = 10 + -10 + 45x Combine like terms: 10 + -10 = 0 45x = 0 + 45x 45x = 45x Add '-45x' to each side of the equation. 45x + -45x = 45x + -45x Combine like terms: 45x + -45x = 0 0 = 45x + -45x Combine like terms: 45x + -45x = 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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