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Simplifying 5(2x + -7) + -3(8x + -1) = 0 Reorder the terms: 5(-7 + 2x) + -3(8x + -1) = 0 (-7 * 5 + 2x * 5) + -3(8x + -1) = 0 (-35 + 10x) + -3(8x + -1) = 0 Reorder the terms: -35 + 10x + -3(-1 + 8x) = 0 -35 + 10x + (-1 * -3 + 8x * -3) = 0 -35 + 10x + (3 + -24x) = 0 Reorder the terms: -35 + 3 + 10x + -24x = 0 Combine like terms: -35 + 3 = -32 -32 + 10x + -24x = 0 Combine like terms: 10x + -24x = -14x -32 + -14x = 0 Solving -32 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -14x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -14x = 0 + 32 -14x = 0 + 32 Combine like terms: 0 + 32 = 32 -14x = 32 Divide each side by '-14'. x = -2.285714286 Simplifying x = -2.285714286
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