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Simplifying 3(2x + -4) + -2(5x + -1) = -14 Reorder the terms: 3(-4 + 2x) + -2(5x + -1) = -14 (-4 * 3 + 2x * 3) + -2(5x + -1) = -14 (-12 + 6x) + -2(5x + -1) = -14 Reorder the terms: -12 + 6x + -2(-1 + 5x) = -14 -12 + 6x + (-1 * -2 + 5x * -2) = -14 -12 + 6x + (2 + -10x) = -14 Reorder the terms: -12 + 2 + 6x + -10x = -14 Combine like terms: -12 + 2 = -10 -10 + 6x + -10x = -14 Combine like terms: 6x + -10x = -4x -10 + -4x = -14 Solving -10 + -4x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -4x = -14 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = -14 + 10 -4x = -14 + 10 Combine like terms: -14 + 10 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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