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Simplifying 2(x + 4) + 3(2x + 3) + 5 = 10 + 8x + 12 Reorder the terms: 2(4 + x) + 3(2x + 3) + 5 = 10 + 8x + 12 (4 * 2 + x * 2) + 3(2x + 3) + 5 = 10 + 8x + 12 (8 + 2x) + 3(2x + 3) + 5 = 10 + 8x + 12 Reorder the terms: 8 + 2x + 3(3 + 2x) + 5 = 10 + 8x + 12 8 + 2x + (3 * 3 + 2x * 3) + 5 = 10 + 8x + 12 8 + 2x + (9 + 6x) + 5 = 10 + 8x + 12 Reorder the terms: 8 + 9 + 5 + 2x + 6x = 10 + 8x + 12 Combine like terms: 8 + 9 = 17 17 + 5 + 2x + 6x = 10 + 8x + 12 Combine like terms: 17 + 5 = 22 22 + 2x + 6x = 10 + 8x + 12 Combine like terms: 2x + 6x = 8x 22 + 8x = 10 + 8x + 12 Reorder the terms: 22 + 8x = 10 + 12 + 8x Combine like terms: 10 + 12 = 22 22 + 8x = 22 + 8x Add '-22' to each side of the equation. 22 + -22 + 8x = 22 + -22 + 8x Combine like terms: 22 + -22 = 0 0 + 8x = 22 + -22 + 8x 8x = 22 + -22 + 8x Combine like terms: 22 + -22 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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