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Simplifying 3(2x + -4) + -1(5x + 2) = 11 Reorder the terms: 3(-4 + 2x) + -1(5x + 2) = 11 (-4 * 3 + 2x * 3) + -1(5x + 2) = 11 (-12 + 6x) + -1(5x + 2) = 11 Reorder the terms: -12 + 6x + -1(2 + 5x) = 11 -12 + 6x + (2 * -1 + 5x * -1) = 11 -12 + 6x + (-2 + -5x) = 11 Reorder the terms: -12 + -2 + 6x + -5x = 11 Combine like terms: -12 + -2 = -14 -14 + 6x + -5x = 11 Combine like terms: 6x + -5x = 1x -14 + 1x = 11 Solving -14 + 1x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1x = 11 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 11 + 14 1x = 11 + 14 Combine like terms: 11 + 14 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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