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Simplifying 5(x + 2) + -2x = 3(x + 1) + 7 Reorder the terms: 5(2 + x) + -2x = 3(x + 1) + 7 (2 * 5 + x * 5) + -2x = 3(x + 1) + 7 (10 + 5x) + -2x = 3(x + 1) + 7 Combine like terms: 5x + -2x = 3x 10 + 3x = 3(x + 1) + 7 Reorder the terms: 10 + 3x = 3(1 + x) + 7 10 + 3x = (1 * 3 + x * 3) + 7 10 + 3x = (3 + 3x) + 7 Reorder the terms: 10 + 3x = 3 + 7 + 3x Combine like terms: 3 + 7 = 10 10 + 3x = 10 + 3x Add '-10' to each side of the equation. 10 + -10 + 3x = 10 + -10 + 3x Combine like terms: 10 + -10 = 0 0 + 3x = 10 + -10 + 3x 3x = 10 + -10 + 3x Combine like terms: 10 + -10 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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