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Simplifying 3[5 + -1(4 + -11x)] + 2x = 5(7x + 2) + -7 3[5 + (4 * -1 + -11x * -1)] + 2x = 5(7x + 2) + -7 3[5 + (-4 + 11x)] + 2x = 5(7x + 2) + -7 Combine like terms: 5 + -4 = 1 3[1 + 11x] + 2x = 5(7x + 2) + -7 [1 * 3 + 11x * 3] + 2x = 5(7x + 2) + -7 [3 + 33x] + 2x = 5(7x + 2) + -7 Combine like terms: 33x + 2x = 35x 3 + 35x = 5(7x + 2) + -7 Reorder the terms: 3 + 35x = 5(2 + 7x) + -7 3 + 35x = (2 * 5 + 7x * 5) + -7 3 + 35x = (10 + 35x) + -7 Reorder the terms: 3 + 35x = 10 + -7 + 35x Combine like terms: 10 + -7 = 3 3 + 35x = 3 + 35x Add '-3' to each side of the equation. 3 + -3 + 35x = 3 + -3 + 35x Combine like terms: 3 + -3 = 0 0 + 35x = 3 + -3 + 35x 35x = 3 + -3 + 35x Combine like terms: 3 + -3 = 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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