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