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Simplifying 7 + 2(3x + 1) = 3(2x + -5) + 24 Reorder the terms: 7 + 2(1 + 3x) = 3(2x + -5) + 24 7 + (1 * 2 + 3x * 2) = 3(2x + -5) + 24 7 + (2 + 6x) = 3(2x + -5) + 24 Combine like terms: 7 + 2 = 9 9 + 6x = 3(2x + -5) + 24 Reorder the terms: 9 + 6x = 3(-5 + 2x) + 24 9 + 6x = (-5 * 3 + 2x * 3) + 24 9 + 6x = (-15 + 6x) + 24 Reorder the terms: 9 + 6x = -15 + 24 + 6x Combine like terms: -15 + 24 = 9 9 + 6x = 9 + 6x Add '-9' to each side of the equation. 9 + -9 + 6x = 9 + -9 + 6x Combine like terms: 9 + -9 = 0 0 + 6x = 9 + -9 + 6x 6x = 9 + -9 + 6x Combine like terms: 9 + -9 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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