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Simplifying -51 = -4(8x + 5) + 7(x + -8) Reorder the terms: -51 = -4(5 + 8x) + 7(x + -8) -51 = (5 * -4 + 8x * -4) + 7(x + -8) -51 = (-20 + -32x) + 7(x + -8) Reorder the terms: -51 = -20 + -32x + 7(-8 + x) -51 = -20 + -32x + (-8 * 7 + x * 7) -51 = -20 + -32x + (-56 + 7x) Reorder the terms: -51 = -20 + -56 + -32x + 7x Combine like terms: -20 + -56 = -76 -51 = -76 + -32x + 7x Combine like terms: -32x + 7x = -25x -51 = -76 + -25x Solving -51 = -76 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. -51 + 25x = -76 + -25x + 25x Combine like terms: -25x + 25x = 0 -51 + 25x = -76 + 0 -51 + 25x = -76 Add '51' to each side of the equation. -51 + 51 + 25x = -76 + 51 Combine like terms: -51 + 51 = 0 0 + 25x = -76 + 51 25x = -76 + 51 Combine like terms: -76 + 51 = -25 25x = -25 Divide each side by '25'. x = -1 Simplifying x = -1
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