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Simplifying 8(x + -4) = -5(x + -5) Reorder the terms: 8(-4 + x) = -5(x + -5) (-4 * 8 + x * 8) = -5(x + -5) (-32 + 8x) = -5(x + -5) Reorder the terms: -32 + 8x = -5(-5 + x) -32 + 8x = (-5 * -5 + x * -5) -32 + 8x = (25 + -5x) Solving -32 + 8x = 25 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -32 + 8x + 5x = 25 + -5x + 5x Combine like terms: 8x + 5x = 13x -32 + 13x = 25 + -5x + 5x Combine like terms: -5x + 5x = 0 -32 + 13x = 25 + 0 -32 + 13x = 25 Add '32' to each side of the equation. -32 + 32 + 13x = 25 + 32 Combine like terms: -32 + 32 = 0 0 + 13x = 25 + 32 13x = 25 + 32 Combine like terms: 25 + 32 = 57 13x = 57 Divide each side by '13'. x = 4.384615385 Simplifying x = 4.384615385
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