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Simplifying 6[2 + -1(3 + 2x)] + -2x = -8 + 2(1 + -7x) 6[2 + (3 * -1 + 2x * -1)] + -2x = -8 + 2(1 + -7x) 6[2 + (-3 + -2x)] + -2x = -8 + 2(1 + -7x) Combine like terms: 2 + -3 = -1 6[-1 + -2x] + -2x = -8 + 2(1 + -7x) [-1 * 6 + -2x * 6] + -2x = -8 + 2(1 + -7x) [-6 + -12x] + -2x = -8 + 2(1 + -7x) Combine like terms: -12x + -2x = -14x -6 + -14x = -8 + 2(1 + -7x) -6 + -14x = -8 + (1 * 2 + -7x * 2) -6 + -14x = -8 + (2 + -14x) Combine like terms: -8 + 2 = -6 -6 + -14x = -6 + -14x Add '6' to each side of the equation. -6 + 6 + -14x = -6 + 6 + -14x Combine like terms: -6 + 6 = 0 0 + -14x = -6 + 6 + -14x -14x = -6 + 6 + -14x Combine like terms: -6 + 6 = 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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