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Simplifying -8(x + 3) = -5(x + 4) Reorder the terms: -8(3 + x) = -5(x + 4) (3 * -8 + x * -8) = -5(x + 4) (-24 + -8x) = -5(x + 4) Reorder the terms: -24 + -8x = -5(4 + x) -24 + -8x = (4 * -5 + x * -5) -24 + -8x = (-20 + -5x) Solving -24 + -8x = -20 + -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. -24 + -8x + 5x = -20 + -5x + 5x Combine like terms: -8x + 5x = -3x -24 + -3x = -20 + -5x + 5x Combine like terms: -5x + 5x = 0 -24 + -3x = -20 + 0 -24 + -3x = -20 Add '24' to each side of the equation. -24 + 24 + -3x = -20 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = -20 + 24 -3x = -20 + 24 Combine like terms: -20 + 24 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333
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