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Simplifying -5(x + 6) + -1x + -2 = -6(x + 4) + -8 Reorder the terms: -5(6 + x) + -1x + -2 = -6(x + 4) + -8 (6 * -5 + x * -5) + -1x + -2 = -6(x + 4) + -8 (-30 + -5x) + -1x + -2 = -6(x + 4) + -8 Reorder the terms: -30 + -2 + -5x + -1x = -6(x + 4) + -8 Combine like terms: -30 + -2 = -32 -32 + -5x + -1x = -6(x + 4) + -8 Combine like terms: -5x + -1x = -6x -32 + -6x = -6(x + 4) + -8 Reorder the terms: -32 + -6x = -6(4 + x) + -8 -32 + -6x = (4 * -6 + x * -6) + -8 -32 + -6x = (-24 + -6x) + -8 Reorder the terms: -32 + -6x = -24 + -8 + -6x Combine like terms: -24 + -8 = -32 -32 + -6x = -32 + -6x Add '32' to each side of the equation. -32 + 32 + -6x = -32 + 32 + -6x Combine like terms: -32 + 32 = 0 0 + -6x = -32 + 32 + -6x -6x = -32 + 32 + -6x Combine like terms: -32 + 32 = 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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