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Simplifying 7[2 + -1(4 + 6x)] + -2x = -16 + 2(1 + -22x) 7[2 + (4 * -1 + 6x * -1)] + -2x = -16 + 2(1 + -22x) 7[2 + (-4 + -6x)] + -2x = -16 + 2(1 + -22x) Combine like terms: 2 + -4 = -2 7[-2 + -6x] + -2x = -16 + 2(1 + -22x) [-2 * 7 + -6x * 7] + -2x = -16 + 2(1 + -22x) [-14 + -42x] + -2x = -16 + 2(1 + -22x) Combine like terms: -42x + -2x = -44x -14 + -44x = -16 + 2(1 + -22x) -14 + -44x = -16 + (1 * 2 + -22x * 2) -14 + -44x = -16 + (2 + -44x) Combine like terms: -16 + 2 = -14 -14 + -44x = -14 + -44x Add '14' to each side of the equation. -14 + 14 + -44x = -14 + 14 + -44x Combine like terms: -14 + 14 = 0 0 + -44x = -14 + 14 + -44x -44x = -14 + 14 + -44x Combine like terms: -14 + 14 = 0 -44x = 0 + -44x -44x = -44x Add '44x' to each side of the equation. -44x + 44x = -44x + 44x Combine like terms: -44x + 44x = 0 0 = -44x + 44x Combine like terms: -44x + 44x = 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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