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Simplifying 8(7x + 5) = -8(x + -5) Reorder the terms: 8(5 + 7x) = -8(x + -5) (5 * 8 + 7x * 8) = -8(x + -5) (40 + 56x) = -8(x + -5) Reorder the terms: 40 + 56x = -8(-5 + x) 40 + 56x = (-5 * -8 + x * -8) 40 + 56x = (40 + -8x) Add '-40' to each side of the equation. 40 + -40 + 56x = 40 + -40 + -8x Combine like terms: 40 + -40 = 0 0 + 56x = 40 + -40 + -8x 56x = 40 + -40 + -8x Combine like terms: 40 + -40 = 0 56x = 0 + -8x 56x = -8x Solving 56x = -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. 56x + 8x = -8x + 8x Combine like terms: 56x + 8x = 64x 64x = -8x + 8x Combine like terms: -8x + 8x = 0 64x = 0 Divide each side by '64'. x = 0 Simplifying x = 0
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