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Simplifying 3(4x + 9) = 19x + 18 + -7x + 9 Reorder the terms: 3(9 + 4x) = 19x + 18 + -7x + 9 (9 * 3 + 4x * 3) = 19x + 18 + -7x + 9 (27 + 12x) = 19x + 18 + -7x + 9 Reorder the terms: 27 + 12x = 18 + 9 + 19x + -7x Combine like terms: 18 + 9 = 27 27 + 12x = 27 + 19x + -7x Combine like terms: 19x + -7x = 12x 27 + 12x = 27 + 12x Add '-27' to each side of the equation. 27 + -27 + 12x = 27 + -27 + 12x Combine like terms: 27 + -27 = 0 0 + 12x = 27 + -27 + 12x 12x = 27 + -27 + 12x Combine like terms: 27 + -27 = 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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