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Simplifying 5(x + -1) + -1(1 + -1x) = 2(x + -1) + -4(1 + -1x) Reorder the terms: 5(-1 + x) + -1(1 + -1x) = 2(x + -1) + -4(1 + -1x) (-1 * 5 + x * 5) + -1(1 + -1x) = 2(x + -1) + -4(1 + -1x) (-5 + 5x) + -1(1 + -1x) = 2(x + -1) + -4(1 + -1x) -5 + 5x + (1 * -1 + -1x * -1) = 2(x + -1) + -4(1 + -1x) -5 + 5x + (-1 + 1x) = 2(x + -1) + -4(1 + -1x) Reorder the terms: -5 + -1 + 5x + 1x = 2(x + -1) + -4(1 + -1x) Combine like terms: -5 + -1 = -6 -6 + 5x + 1x = 2(x + -1) + -4(1 + -1x) Combine like terms: 5x + 1x = 6x -6 + 6x = 2(x + -1) + -4(1 + -1x) Reorder the terms: -6 + 6x = 2(-1 + x) + -4(1 + -1x) -6 + 6x = (-1 * 2 + x * 2) + -4(1 + -1x) -6 + 6x = (-2 + 2x) + -4(1 + -1x) -6 + 6x = -2 + 2x + (1 * -4 + -1x * -4) -6 + 6x = -2 + 2x + (-4 + 4x) Reorder the terms: -6 + 6x = -2 + -4 + 2x + 4x Combine like terms: -2 + -4 = -6 -6 + 6x = -6 + 2x + 4x Combine like terms: 2x + 4x = 6x -6 + 6x = -6 + 6x Add '6' to each side of the equation. -6 + 6 + 6x = -6 + 6 + 6x Combine like terms: -6 + 6 = 0 0 + 6x = -6 + 6 + 6x 6x = -6 + 6 + 6x Combine like terms: -6 + 6 = 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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