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Simplifying 4(2x + 7) = 2x + 22 + 3(2x + 2) Reorder the terms: 4(7 + 2x) = 2x + 22 + 3(2x + 2) (7 * 4 + 2x * 4) = 2x + 22 + 3(2x + 2) (28 + 8x) = 2x + 22 + 3(2x + 2) Reorder the terms: 28 + 8x = 2x + 22 + 3(2 + 2x) 28 + 8x = 2x + 22 + (2 * 3 + 2x * 3) 28 + 8x = 2x + 22 + (6 + 6x) Reorder the terms: 28 + 8x = 22 + 6 + 2x + 6x Combine like terms: 22 + 6 = 28 28 + 8x = 28 + 2x + 6x Combine like terms: 2x + 6x = 8x 28 + 8x = 28 + 8x Add '-28' to each side of the equation. 28 + -28 + 8x = 28 + -28 + 8x Combine like terms: 28 + -28 = 0 0 + 8x = 28 + -28 + 8x 8x = 28 + -28 + 8x Combine like terms: 28 + -28 = 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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