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Simplifying 5(-5 + -8x) + -7x = 14 + -8x (-5 * 5 + -8x * 5) + -7x = 14 + -8x (-25 + -40x) + -7x = 14 + -8x Combine like terms: -40x + -7x = -47x -25 + -47x = 14 + -8x Solving -25 + -47x = 14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -25 + -47x + 8x = 14 + -8x + 8x Combine like terms: -47x + 8x = -39x -25 + -39x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 -25 + -39x = 14 + 0 -25 + -39x = 14 Add '25' to each side of the equation. -25 + 25 + -39x = 14 + 25 Combine like terms: -25 + 25 = 0 0 + -39x = 14 + 25 -39x = 14 + 25 Combine like terms: 14 + 25 = 39 -39x = 39 Divide each side by '-39'. x = -1 Simplifying x = -1
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