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Simplifying 3(8 + -1x) + -48 = 27x + -6(4 + 5x) (8 * 3 + -1x * 3) + -48 = 27x + -6(4 + 5x) (24 + -3x) + -48 = 27x + -6(4 + 5x) Reorder the terms: 24 + -48 + -3x = 27x + -6(4 + 5x) Combine like terms: 24 + -48 = -24 -24 + -3x = 27x + -6(4 + 5x) -24 + -3x = 27x + (4 * -6 + 5x * -6) -24 + -3x = 27x + (-24 + -30x) Reorder the terms: -24 + -3x = -24 + 27x + -30x Combine like terms: 27x + -30x = -3x -24 + -3x = -24 + -3x Add '24' to each side of the equation. -24 + 24 + -3x = -24 + 24 + -3x Combine like terms: -24 + 24 = 0 0 + -3x = -24 + 24 + -3x -3x = -24 + 24 + -3x Combine like terms: -24 + 24 = 0 -3x = 0 + -3x -3x = -3x Add '3x' to each side of the equation. -3x + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 0 = -3x + 3x Combine like terms: -3x + 3x = 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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