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