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Simplifying 6 + 5(4 + -7x) + 20x = 4 + -3(5x + -3) + 13 6 + (4 * 5 + -7x * 5) + 20x = 4 + -3(5x + -3) + 13 6 + (20 + -35x) + 20x = 4 + -3(5x + -3) + 13 Combine like terms: 6 + 20 = 26 26 + -35x + 20x = 4 + -3(5x + -3) + 13 Combine like terms: -35x + 20x = -15x 26 + -15x = 4 + -3(5x + -3) + 13 Reorder the terms: 26 + -15x = 4 + -3(-3 + 5x) + 13 26 + -15x = 4 + (-3 * -3 + 5x * -3) + 13 26 + -15x = 4 + (9 + -15x) + 13 Reorder the terms: 26 + -15x = 4 + 9 + 13 + -15x Combine like terms: 4 + 9 = 13 26 + -15x = 13 + 13 + -15x Combine like terms: 13 + 13 = 26 26 + -15x = 26 + -15x Add '-26' to each side of the equation. 26 + -26 + -15x = 26 + -26 + -15x Combine like terms: 26 + -26 = 0 0 + -15x = 26 + -26 + -15x -15x = 26 + -26 + -15x Combine like terms: 26 + -26 = 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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