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Simplifying 2(3x + -1) + -4(6x + 4) = 50 Reorder the terms: 2(-1 + 3x) + -4(6x + 4) = 50 (-1 * 2 + 3x * 2) + -4(6x + 4) = 50 (-2 + 6x) + -4(6x + 4) = 50 Reorder the terms: -2 + 6x + -4(4 + 6x) = 50 -2 + 6x + (4 * -4 + 6x * -4) = 50 -2 + 6x + (-16 + -24x) = 50 Reorder the terms: -2 + -16 + 6x + -24x = 50 Combine like terms: -2 + -16 = -18 -18 + 6x + -24x = 50 Combine like terms: 6x + -24x = -18x -18 + -18x = 50 Solving -18 + -18x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -18x = 50 + 18 Combine like terms: -18 + 18 = 0 0 + -18x = 50 + 18 -18x = 50 + 18 Combine like terms: 50 + 18 = 68 -18x = 68 Divide each side by '-18'. x = -3.777777778 Simplifying x = -3.777777778
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