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