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Simplifying 2(1 + x) + 7 = 2(x + 3) + 3 (1 * 2 + x * 2) + 7 = 2(x + 3) + 3 (2 + 2x) + 7 = 2(x + 3) + 3 Reorder the terms: 2 + 7 + 2x = 2(x + 3) + 3 Combine like terms: 2 + 7 = 9 9 + 2x = 2(x + 3) + 3 Reorder the terms: 9 + 2x = 2(3 + x) + 3 9 + 2x = (3 * 2 + x * 2) + 3 9 + 2x = (6 + 2x) + 3 Reorder the terms: 9 + 2x = 6 + 3 + 2x Combine like terms: 6 + 3 = 9 9 + 2x = 9 + 2x Add '-9' to each side of the equation. 9 + -9 + 2x = 9 + -9 + 2x Combine like terms: 9 + -9 = 0 0 + 2x = 9 + -9 + 2x 2x = 9 + -9 + 2x Combine like terms: 9 + -9 = 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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