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Simplifying 6(4 + 2x) = 4(2x + -1) + 4(x + 3) (4 * 6 + 2x * 6) = 4(2x + -1) + 4(x + 3) (24 + 12x) = 4(2x + -1) + 4(x + 3) Reorder the terms: 24 + 12x = 4(-1 + 2x) + 4(x + 3) 24 + 12x = (-1 * 4 + 2x * 4) + 4(x + 3) 24 + 12x = (-4 + 8x) + 4(x + 3) Reorder the terms: 24 + 12x = -4 + 8x + 4(3 + x) 24 + 12x = -4 + 8x + (3 * 4 + x * 4) 24 + 12x = -4 + 8x + (12 + 4x) Reorder the terms: 24 + 12x = -4 + 12 + 8x + 4x Combine like terms: -4 + 12 = 8 24 + 12x = 8 + 8x + 4x Combine like terms: 8x + 4x = 12x 24 + 12x = 8 + 12x Add '-12x' to each side of the equation. 24 + 12x + -12x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + 0 = 8 + 12x + -12x 24 = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 24 = 8 + 0 24 = 8 Solving 24 = 8 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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