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Simplifying 3(2x + 8) = 4(2x + 6) + -2x Reorder the terms: 3(8 + 2x) = 4(2x + 6) + -2x (8 * 3 + 2x * 3) = 4(2x + 6) + -2x (24 + 6x) = 4(2x + 6) + -2x Reorder the terms: 24 + 6x = 4(6 + 2x) + -2x 24 + 6x = (6 * 4 + 2x * 4) + -2x 24 + 6x = (24 + 8x) + -2x Combine like terms: 8x + -2x = 6x 24 + 6x = 24 + 6x Add '-24' to each side of the equation. 24 + -24 + 6x = 24 + -24 + 6x Combine like terms: 24 + -24 = 0 0 + 6x = 24 + -24 + 6x 6x = 24 + -24 + 6x Combine like terms: 24 + -24 = 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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