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Simplifying 2(3x + 4) = 10x + 4(2 + -1x) Reorder the terms: 2(4 + 3x) = 10x + 4(2 + -1x) (4 * 2 + 3x * 2) = 10x + 4(2 + -1x) (8 + 6x) = 10x + 4(2 + -1x) 8 + 6x = 10x + (2 * 4 + -1x * 4) 8 + 6x = 10x + (8 + -4x) Reorder the terms: 8 + 6x = 8 + 10x + -4x Combine like terms: 10x + -4x = 6x 8 + 6x = 8 + 6x Add '-8' to each side of the equation. 8 + -8 + 6x = 8 + -8 + 6x Combine like terms: 8 + -8 = 0 0 + 6x = 8 + -8 + 6x 6x = 8 + -8 + 6x Combine like terms: 8 + -8 = 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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