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Simplifying 6[2 + -1(5 + 2x)] + -2x = -20 + 2(1 + -7x) 6[2 + (5 * -1 + 2x * -1)] + -2x = -20 + 2(1 + -7x) 6[2 + (-5 + -2x)] + -2x = -20 + 2(1 + -7x) Combine like terms: 2 + -5 = -3 6[-3 + -2x] + -2x = -20 + 2(1 + -7x) [-3 * 6 + -2x * 6] + -2x = -20 + 2(1 + -7x) [-18 + -12x] + -2x = -20 + 2(1 + -7x) Combine like terms: -12x + -2x = -14x -18 + -14x = -20 + 2(1 + -7x) -18 + -14x = -20 + (1 * 2 + -7x * 2) -18 + -14x = -20 + (2 + -14x) Combine like terms: -20 + 2 = -18 -18 + -14x = -18 + -14x Add '18' to each side of the equation. -18 + 18 + -14x = -18 + 18 + -14x Combine like terms: -18 + 18 = 0 0 + -14x = -18 + 18 + -14x -14x = -18 + 18 + -14x Combine like terms: -18 + 18 = 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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