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Simplifying 24(x + -1) = 2(12x + 4) + -32 Reorder the terms: 24(-1 + x) = 2(12x + 4) + -32 (-1 * 24 + x * 24) = 2(12x + 4) + -32 (-24 + 24x) = 2(12x + 4) + -32 Reorder the terms: -24 + 24x = 2(4 + 12x) + -32 -24 + 24x = (4 * 2 + 12x * 2) + -32 -24 + 24x = (8 + 24x) + -32 Reorder the terms: -24 + 24x = 8 + -32 + 24x Combine like terms: 8 + -32 = -24 -24 + 24x = -24 + 24x Add '24' to each side of the equation. -24 + 24 + 24x = -24 + 24 + 24x Combine like terms: -24 + 24 = 0 0 + 24x = -24 + 24 + 24x 24x = -24 + 24 + 24x Combine like terms: -24 + 24 = 0 24x = 0 + 24x 24x = 24x Add '-24x' to each side of the equation. 24x + -24x = 24x + -24x Combine like terms: 24x + -24x = 0 0 = 24x + -24x Combine like terms: 24x + -24x = 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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