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Simplifying 7(3 + -1(2 + -2x)) + x = 3(5x + 4) + -5 7(3 + (2 * -1 + -2x * -1)) + x = 3(5x + 4) + -5 7(3 + (-2 + 2x)) + x = 3(5x + 4) + -5 Combine like terms: 3 + -2 = 1 7(1 + 2x) + x = 3(5x + 4) + -5 (1 * 7 + 2x * 7) + x = 3(5x + 4) + -5 (7 + 14x) + x = 3(5x + 4) + -5 Combine like terms: 14x + x = 15x 7 + 15x = 3(5x + 4) + -5 Reorder the terms: 7 + 15x = 3(4 + 5x) + -5 7 + 15x = (4 * 3 + 5x * 3) + -5 7 + 15x = (12 + 15x) + -5 Reorder the terms: 7 + 15x = 12 + -5 + 15x Combine like terms: 12 + -5 = 7 7 + 15x = 7 + 15x Add '-7' to each side of the equation. 7 + -7 + 15x = 7 + -7 + 15x Combine like terms: 7 + -7 = 0 0 + 15x = 7 + -7 + 15x 15x = 7 + -7 + 15x Combine like terms: 7 + -7 = 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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