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Simplifying 6 + -3(x + 1) + -1(x + 1) = 2(x + 1) + -6(x + 1) + 6 Reorder the terms: 6 + -3(1 + x) + -1(x + 1) = 2(x + 1) + -6(x + 1) + 6 6 + (1 * -3 + x * -3) + -1(x + 1) = 2(x + 1) + -6(x + 1) + 6 6 + (-3 + -3x) + -1(x + 1) = 2(x + 1) + -6(x + 1) + 6 Reorder the terms: 6 + -3 + -3x + -1(1 + x) = 2(x + 1) + -6(x + 1) + 6 6 + -3 + -3x + (1 * -1 + x * -1) = 2(x + 1) + -6(x + 1) + 6 6 + -3 + -3x + (-1 + -1x) = 2(x + 1) + -6(x + 1) + 6 Reorder the terms: 6 + -3 + -1 + -3x + -1x = 2(x + 1) + -6(x + 1) + 6 Combine like terms: 6 + -3 = 3 3 + -1 + -3x + -1x = 2(x + 1) + -6(x + 1) + 6 Combine like terms: 3 + -1 = 2 2 + -3x + -1x = 2(x + 1) + -6(x + 1) + 6 Combine like terms: -3x + -1x = -4x 2 + -4x = 2(x + 1) + -6(x + 1) + 6 Reorder the terms: 2 + -4x = 2(1 + x) + -6(x + 1) + 6 2 + -4x = (1 * 2 + x * 2) + -6(x + 1) + 6 2 + -4x = (2 + 2x) + -6(x + 1) + 6 Reorder the terms: 2 + -4x = 2 + 2x + -6(1 + x) + 6 2 + -4x = 2 + 2x + (1 * -6 + x * -6) + 6 2 + -4x = 2 + 2x + (-6 + -6x) + 6 Reorder the terms: 2 + -4x = 2 + -6 + 6 + 2x + -6x Combine like terms: 2 + -6 = -4 2 + -4x = -4 + 6 + 2x + -6x Combine like terms: -4 + 6 = 2 2 + -4x = 2 + 2x + -6x Combine like terms: 2x + -6x = -4x 2 + -4x = 2 + -4x Add '-2' to each side of the equation. 2 + -2 + -4x = 2 + -2 + -4x Combine like terms: 2 + -2 = 0 0 + -4x = 2 + -2 + -4x -4x = 2 + -2 + -4x Combine like terms: 2 + -2 = 0 -4x = 0 + -4x -4x = -4x Add '4x' to each side of the equation. -4x + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 0 = -4x + 4x Combine like terms: -4x + 4x = 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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