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