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Simplifying 12(x + 1) = 3(4x + 9) + -15 Reorder the terms: 12(1 + x) = 3(4x + 9) + -15 (1 * 12 + x * 12) = 3(4x + 9) + -15 (12 + 12x) = 3(4x + 9) + -15 Reorder the terms: 12 + 12x = 3(9 + 4x) + -15 12 + 12x = (9 * 3 + 4x * 3) + -15 12 + 12x = (27 + 12x) + -15 Reorder the terms: 12 + 12x = 27 + -15 + 12x Combine like terms: 27 + -15 = 12 12 + 12x = 12 + 12x Add '-12' to each side of the equation. 12 + -12 + 12x = 12 + -12 + 12x Combine like terms: 12 + -12 = 0 0 + 12x = 12 + -12 + 12x 12x = 12 + -12 + 12x Combine like terms: 12 + -12 = 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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