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Simplifying 2(4x + 3) = 4(2x + 5) + -14 Reorder the terms: 2(3 + 4x) = 4(2x + 5) + -14 (3 * 2 + 4x * 2) = 4(2x + 5) + -14 (6 + 8x) = 4(2x + 5) + -14 Reorder the terms: 6 + 8x = 4(5 + 2x) + -14 6 + 8x = (5 * 4 + 2x * 4) + -14 6 + 8x = (20 + 8x) + -14 Reorder the terms: 6 + 8x = 20 + -14 + 8x Combine like terms: 20 + -14 = 6 6 + 8x = 6 + 8x Add '-6' to each side of the equation. 6 + -6 + 8x = 6 + -6 + 8x Combine like terms: 6 + -6 = 0 0 + 8x = 6 + -6 + 8x 8x = 6 + -6 + 8x Combine like terms: 6 + -6 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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