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Simplifying 24(x + 3) = 6(4x + 1) + 66 Reorder the terms: 24(3 + x) = 6(4x + 1) + 66 (3 * 24 + x * 24) = 6(4x + 1) + 66 (72 + 24x) = 6(4x + 1) + 66 Reorder the terms: 72 + 24x = 6(1 + 4x) + 66 72 + 24x = (1 * 6 + 4x * 6) + 66 72 + 24x = (6 + 24x) + 66 Reorder the terms: 72 + 24x = 6 + 66 + 24x Combine like terms: 6 + 66 = 72 72 + 24x = 72 + 24x Add '-72' to each side of the equation. 72 + -72 + 24x = 72 + -72 + 24x Combine like terms: 72 + -72 = 0 0 + 24x = 72 + -72 + 24x 24x = 72 + -72 + 24x Combine like terms: 72 + -72 = 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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