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Simplifying 4(5x + -8) + -3(2x + -7) = 0 Reorder the terms: 4(-8 + 5x) + -3(2x + -7) = 0 (-8 * 4 + 5x * 4) + -3(2x + -7) = 0 (-32 + 20x) + -3(2x + -7) = 0 Reorder the terms: -32 + 20x + -3(-7 + 2x) = 0 -32 + 20x + (-7 * -3 + 2x * -3) = 0 -32 + 20x + (21 + -6x) = 0 Reorder the terms: -32 + 21 + 20x + -6x = 0 Combine like terms: -32 + 21 = -11 -11 + 20x + -6x = 0 Combine like terms: 20x + -6x = 14x -11 + 14x = 0 Solving -11 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 14x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 14x = 0 + 11 14x = 0 + 11 Combine like terms: 0 + 11 = 11 14x = 11 Divide each side by '14'. x = 0.7857142857 Simplifying x = 0.7857142857
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