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Simplifying -8(5x + -7) = -8x + -40 Reorder the terms: -8(-7 + 5x) = -8x + -40 (-7 * -8 + 5x * -8) = -8x + -40 (56 + -40x) = -8x + -40 Reorder the terms: 56 + -40x = -40 + -8x Solving 56 + -40x = -40 + -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. 56 + -40x + 8x = -40 + -8x + 8x Combine like terms: -40x + 8x = -32x 56 + -32x = -40 + -8x + 8x Combine like terms: -8x + 8x = 0 56 + -32x = -40 + 0 56 + -32x = -40 Add '-56' to each side of the equation. 56 + -56 + -32x = -40 + -56 Combine like terms: 56 + -56 = 0 0 + -32x = -40 + -56 -32x = -40 + -56 Combine like terms: -40 + -56 = -96 -32x = -96 Divide each side by '-32'. x = 3 Simplifying x = 3
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