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Simplifying 6(5 + 2x) = 4(2x + -1) + 4(x + 5) (5 * 6 + 2x * 6) = 4(2x + -1) + 4(x + 5) (30 + 12x) = 4(2x + -1) + 4(x + 5) Reorder the terms: 30 + 12x = 4(-1 + 2x) + 4(x + 5) 30 + 12x = (-1 * 4 + 2x * 4) + 4(x + 5) 30 + 12x = (-4 + 8x) + 4(x + 5) Reorder the terms: 30 + 12x = -4 + 8x + 4(5 + x) 30 + 12x = -4 + 8x + (5 * 4 + x * 4) 30 + 12x = -4 + 8x + (20 + 4x) Reorder the terms: 30 + 12x = -4 + 20 + 8x + 4x Combine like terms: -4 + 20 = 16 30 + 12x = 16 + 8x + 4x Combine like terms: 8x + 4x = 12x 30 + 12x = 16 + 12x Add '-12x' to each side of the equation. 30 + 12x + -12x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + 0 = 16 + 12x + -12x 30 = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 30 = 16 + 0 30 = 16 Solving 30 = 16 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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