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Simplifying 3(5x + 6) = 4(3x + 5) + 3x + -2 Reorder the terms: 3(6 + 5x) = 4(3x + 5) + 3x + -2 (6 * 3 + 5x * 3) = 4(3x + 5) + 3x + -2 (18 + 15x) = 4(3x + 5) + 3x + -2 Reorder the terms: 18 + 15x = 4(5 + 3x) + 3x + -2 18 + 15x = (5 * 4 + 3x * 4) + 3x + -2 18 + 15x = (20 + 12x) + 3x + -2 Reorder the terms: 18 + 15x = 20 + -2 + 12x + 3x Combine like terms: 20 + -2 = 18 18 + 15x = 18 + 12x + 3x Combine like terms: 12x + 3x = 15x 18 + 15x = 18 + 15x Add '-18' to each side of the equation. 18 + -18 + 15x = 18 + -18 + 15x Combine like terms: 18 + -18 = 0 0 + 15x = 18 + -18 + 15x 15x = 18 + -18 + 15x Combine like terms: 18 + -18 = 0 15x = 0 + 15x 15x = 15x Add '-15x' to each side of the equation. 15x + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 0 = 15x + -15x Combine like terms: 15x + -15x = 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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