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Simplifying 7(3x + 5) + 9 = 4(6x + 11) + -3x Reorder the terms: 7(5 + 3x) + 9 = 4(6x + 11) + -3x (5 * 7 + 3x * 7) + 9 = 4(6x + 11) + -3x (35 + 21x) + 9 = 4(6x + 11) + -3x Reorder the terms: 35 + 9 + 21x = 4(6x + 11) + -3x Combine like terms: 35 + 9 = 44 44 + 21x = 4(6x + 11) + -3x Reorder the terms: 44 + 21x = 4(11 + 6x) + -3x 44 + 21x = (11 * 4 + 6x * 4) + -3x 44 + 21x = (44 + 24x) + -3x Combine like terms: 24x + -3x = 21x 44 + 21x = 44 + 21x Add '-44' to each side of the equation. 44 + -44 + 21x = 44 + -44 + 21x Combine like terms: 44 + -44 = 0 0 + 21x = 44 + -44 + 21x 21x = 44 + -44 + 21x Combine like terms: 44 + -44 = 0 21x = 0 + 21x 21x = 21x Add '-21x' to each side of the equation. 21x + -21x = 21x + -21x Combine like terms: 21x + -21x = 0 0 = 21x + -21x Combine like terms: 21x + -21x = 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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