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Simplifying 3(2x + 4) + -2(1 + 5x) = 11 + -4x Reorder the terms: 3(4 + 2x) + -2(1 + 5x) = 11 + -4x (4 * 3 + 2x * 3) + -2(1 + 5x) = 11 + -4x (12 + 6x) + -2(1 + 5x) = 11 + -4x 12 + 6x + (1 * -2 + 5x * -2) = 11 + -4x 12 + 6x + (-2 + -10x) = 11 + -4x Reorder the terms: 12 + -2 + 6x + -10x = 11 + -4x Combine like terms: 12 + -2 = 10 10 + 6x + -10x = 11 + -4x Combine like terms: 6x + -10x = -4x 10 + -4x = 11 + -4x Add '4x' to each side of the equation. 10 + -4x + 4x = 11 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 0 = 11 + -4x + 4x 10 = 11 + -4x + 4x Combine like terms: -4x + 4x = 0 10 = 11 + 0 10 = 11 Solving 10 = 11 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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