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Simplifying 2(4x + 5) = 2(4x + -2) + 14 Reorder the terms: 2(5 + 4x) = 2(4x + -2) + 14 (5 * 2 + 4x * 2) = 2(4x + -2) + 14 (10 + 8x) = 2(4x + -2) + 14 Reorder the terms: 10 + 8x = 2(-2 + 4x) + 14 10 + 8x = (-2 * 2 + 4x * 2) + 14 10 + 8x = (-4 + 8x) + 14 Reorder the terms: 10 + 8x = -4 + 14 + 8x Combine like terms: -4 + 14 = 10 10 + 8x = 10 + 8x Add '-10' to each side of the equation. 10 + -10 + 8x = 10 + -10 + 8x Combine like terms: 10 + -10 = 0 0 + 8x = 10 + -10 + 8x 8x = 10 + -10 + 8x Combine like terms: 10 + -10 = 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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