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Simplifying 7(2x + -1) + 3(4x + -5) = 0 Reorder the terms: 7(-1 + 2x) + 3(4x + -5) = 0 (-1 * 7 + 2x * 7) + 3(4x + -5) = 0 (-7 + 14x) + 3(4x + -5) = 0 Reorder the terms: -7 + 14x + 3(-5 + 4x) = 0 -7 + 14x + (-5 * 3 + 4x * 3) = 0 -7 + 14x + (-15 + 12x) = 0 Reorder the terms: -7 + -15 + 14x + 12x = 0 Combine like terms: -7 + -15 = -22 -22 + 14x + 12x = 0 Combine like terms: 14x + 12x = 26x -22 + 26x = 0 Solving -22 + 26x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 26x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 26x = 0 + 22 26x = 0 + 22 Combine like terms: 0 + 22 = 22 26x = 22 Divide each side by '26'. x = 0.8461538462 Simplifying x = 0.8461538462
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