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