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Simplifying 2[4 + -1(3 + -7x)] + x = 3(5x + 2) + -4 2[4 + (3 * -1 + -7x * -1)] + x = 3(5x + 2) + -4 2[4 + (-3 + 7x)] + x = 3(5x + 2) + -4 Combine like terms: 4 + -3 = 1 2[1 + 7x] + x = 3(5x + 2) + -4 [1 * 2 + 7x * 2] + x = 3(5x + 2) + -4 [2 + 14x] + x = 3(5x + 2) + -4 Combine like terms: 14x + x = 15x 2 + 15x = 3(5x + 2) + -4 Reorder the terms: 2 + 15x = 3(2 + 5x) + -4 2 + 15x = (2 * 3 + 5x * 3) + -4 2 + 15x = (6 + 15x) + -4 Reorder the terms: 2 + 15x = 6 + -4 + 15x Combine like terms: 6 + -4 = 2 2 + 15x = 2 + 15x Add '-2' to each side of the equation. 2 + -2 + 15x = 2 + -2 + 15x Combine like terms: 2 + -2 = 0 0 + 15x = 2 + -2 + 15x 15x = 2 + -2 + 15x Combine like terms: 2 + -2 = 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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