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Simplifying 2x + 5(x + 3) = 3(2x + 1) + 12 + x Reorder the terms: 2x + 5(3 + x) = 3(2x + 1) + 12 + x 2x + (3 * 5 + x * 5) = 3(2x + 1) + 12 + x 2x + (15 + 5x) = 3(2x + 1) + 12 + x Reorder the terms: 15 + 2x + 5x = 3(2x + 1) + 12 + x Combine like terms: 2x + 5x = 7x 15 + 7x = 3(2x + 1) + 12 + x Reorder the terms: 15 + 7x = 3(1 + 2x) + 12 + x 15 + 7x = (1 * 3 + 2x * 3) + 12 + x 15 + 7x = (3 + 6x) + 12 + x Reorder the terms: 15 + 7x = 3 + 12 + 6x + x Combine like terms: 3 + 12 = 15 15 + 7x = 15 + 6x + x Combine like terms: 6x + x = 7x 15 + 7x = 15 + 7x Add '-15' to each side of the equation. 15 + -15 + 7x = 15 + -15 + 7x Combine like terms: 15 + -15 = 0 0 + 7x = 15 + -15 + 7x 7x = 15 + -15 + 7x Combine like terms: 15 + -15 = 0 7x = 0 + 7x 7x = 7x Add '-7x' to each side of the equation. 7x + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 7x + -7x Combine like terms: 7x + -7x = 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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