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Simplifying 2(x + 5) = 5x + 3 + -3x + 7 Reorder the terms: 2(5 + x) = 5x + 3 + -3x + 7 (5 * 2 + x * 2) = 5x + 3 + -3x + 7 (10 + 2x) = 5x + 3 + -3x + 7 Reorder the terms: 10 + 2x = 3 + 7 + 5x + -3x Combine like terms: 3 + 7 = 10 10 + 2x = 10 + 5x + -3x Combine like terms: 5x + -3x = 2x 10 + 2x = 10 + 2x Add '-10' to each side of the equation. 10 + -10 + 2x = 10 + -10 + 2x Combine like terms: 10 + -10 = 0 0 + 2x = 10 + -10 + 2x 2x = 10 + -10 + 2x Combine like terms: 10 + -10 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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