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Simplifying 5(x + -5) = 8(x + 3) Reorder the terms: 5(-5 + x) = 8(x + 3) (-5 * 5 + x * 5) = 8(x + 3) (-25 + 5x) = 8(x + 3) Reorder the terms: -25 + 5x = 8(3 + x) -25 + 5x = (3 * 8 + x * 8) -25 + 5x = (24 + 8x) Solving -25 + 5x = 24 + 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. -25 + 5x + -8x = 24 + 8x + -8x Combine like terms: 5x + -8x = -3x -25 + -3x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -25 + -3x = 24 + 0 -25 + -3x = 24 Add '25' to each side of the equation. -25 + 25 + -3x = 24 + 25 Combine like terms: -25 + 25 = 0 0 + -3x = 24 + 25 -3x = 24 + 25 Combine like terms: 24 + 25 = 49 -3x = 49 Divide each side by '-3'. x = -16.33333333 Simplifying x = -16.33333333
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