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Simplifying 12(x + 4) = 3(4x + 1) + 45 Reorder the terms: 12(4 + x) = 3(4x + 1) + 45 (4 * 12 + x * 12) = 3(4x + 1) + 45 (48 + 12x) = 3(4x + 1) + 45 Reorder the terms: 48 + 12x = 3(1 + 4x) + 45 48 + 12x = (1 * 3 + 4x * 3) + 45 48 + 12x = (3 + 12x) + 45 Reorder the terms: 48 + 12x = 3 + 45 + 12x Combine like terms: 3 + 45 = 48 48 + 12x = 48 + 12x Add '-48' to each side of the equation. 48 + -48 + 12x = 48 + -48 + 12x Combine like terms: 48 + -48 = 0 0 + 12x = 48 + -48 + 12x 12x = 48 + -48 + 12x Combine like terms: 48 + -48 = 0 12x = 0 + 12x 12x = 12x Add '-12x' to each side of the equation. 12x + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 0 = 12x + -12x Combine like terms: 12x + -12x = 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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