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Simplifying 24(x + 1) = 6(4x + -2) + 36 Reorder the terms: 24(1 + x) = 6(4x + -2) + 36 (1 * 24 + x * 24) = 6(4x + -2) + 36 (24 + 24x) = 6(4x + -2) + 36 Reorder the terms: 24 + 24x = 6(-2 + 4x) + 36 24 + 24x = (-2 * 6 + 4x * 6) + 36 24 + 24x = (-12 + 24x) + 36 Reorder the terms: 24 + 24x = -12 + 36 + 24x Combine like terms: -12 + 36 = 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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