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Simplifying 24(x + -2) = 3(8x + 2) + -54 Reorder the terms: 24(-2 + x) = 3(8x + 2) + -54 (-2 * 24 + x * 24) = 3(8x + 2) + -54 (-48 + 24x) = 3(8x + 2) + -54 Reorder the terms: -48 + 24x = 3(2 + 8x) + -54 -48 + 24x = (2 * 3 + 8x * 3) + -54 -48 + 24x = (6 + 24x) + -54 Reorder the terms: -48 + 24x = 6 + -54 + 24x Combine like terms: 6 + -54 = -48 -48 + 24x = -48 + 24x Add '48' to each side of the equation. -48 + 48 + 24x = -48 + 48 + 24x Combine like terms: -48 + 48 = 0 0 + 24x = -48 + 48 + 24x 24x = -48 + 48 + 24x Combine like terms: -48 + 48 = 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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