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Simplifying 2(4x + 5) = 10x + 7 + -2x + 3 Reorder the terms: 2(5 + 4x) = 10x + 7 + -2x + 3 (5 * 2 + 4x * 2) = 10x + 7 + -2x + 3 (10 + 8x) = 10x + 7 + -2x + 3 Reorder the terms: 10 + 8x = 7 + 3 + 10x + -2x Combine like terms: 7 + 3 = 10 10 + 8x = 10 + 10x + -2x Combine like terms: 10x + -2x = 8x 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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