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Simplifying 7 + 3(2x + 1) = x + 5(x + 2) Reorder the terms: 7 + 3(1 + 2x) = x + 5(x + 2) 7 + (1 * 3 + 2x * 3) = x + 5(x + 2) 7 + (3 + 6x) = x + 5(x + 2) Combine like terms: 7 + 3 = 10 10 + 6x = x + 5(x + 2) Reorder the terms: 10 + 6x = x + 5(2 + x) 10 + 6x = x + (2 * 5 + x * 5) 10 + 6x = x + (10 + 5x) Reorder the terms: 10 + 6x = 10 + x + 5x Combine like terms: x + 5x = 6x 10 + 6x = 10 + 6x Add '-10' to each side of the equation. 10 + -10 + 6x = 10 + -10 + 6x Combine like terms: 10 + -10 = 0 0 + 6x = 10 + -10 + 6x 6x = 10 + -10 + 6x Combine like terms: 10 + -10 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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