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Simplifying 14[3 + -1(2 + -2x)] + 7x = 5(7x + 3) + -1 14[3 + (2 * -1 + -2x * -1)] + 7x = 5(7x + 3) + -1 14[3 + (-2 + 2x)] + 7x = 5(7x + 3) + -1 Combine like terms: 3 + -2 = 1 14[1 + 2x] + 7x = 5(7x + 3) + -1 [1 * 14 + 2x * 14] + 7x = 5(7x + 3) + -1 [14 + 28x] + 7x = 5(7x + 3) + -1 Combine like terms: 28x + 7x = 35x 14 + 35x = 5(7x + 3) + -1 Reorder the terms: 14 + 35x = 5(3 + 7x) + -1 14 + 35x = (3 * 5 + 7x * 5) + -1 14 + 35x = (15 + 35x) + -1 Reorder the terms: 14 + 35x = 15 + -1 + 35x Combine like terms: 15 + -1 = 14 14 + 35x = 14 + 35x Add '-14' to each side of the equation. 14 + -14 + 35x = 14 + -14 + 35x Combine like terms: 14 + -14 = 0 0 + 35x = 14 + -14 + 35x 35x = 14 + -14 + 35x Combine like terms: 14 + -14 = 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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