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Simplifying 3(3x + 5) = 2(6x + 4) + -3x + 7 Reorder the terms: 3(5 + 3x) = 2(6x + 4) + -3x + 7 (5 * 3 + 3x * 3) = 2(6x + 4) + -3x + 7 (15 + 9x) = 2(6x + 4) + -3x + 7 Reorder the terms: 15 + 9x = 2(4 + 6x) + -3x + 7 15 + 9x = (4 * 2 + 6x * 2) + -3x + 7 15 + 9x = (8 + 12x) + -3x + 7 Reorder the terms: 15 + 9x = 8 + 7 + 12x + -3x Combine like terms: 8 + 7 = 15 15 + 9x = 15 + 12x + -3x Combine like terms: 12x + -3x = 9x 15 + 9x = 15 + 9x Add '-15' to each side of the equation. 15 + -15 + 9x = 15 + -15 + 9x Combine like terms: 15 + -15 = 0 0 + 9x = 15 + -15 + 9x 9x = 15 + -15 + 9x Combine like terms: 15 + -15 = 0 9x = 0 + 9x 9x = 9x Add '-9x' to each side of the equation. 9x + -9x = 9x + -9x Combine like terms: 9x + -9x = 0 0 = 9x + -9x Combine like terms: 9x + -9x = 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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