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Simplifying 5(-5 + x) = 2(x + 4) (-5 * 5 + x * 5) = 2(x + 4) (-25 + 5x) = 2(x + 4) Reorder the terms: -25 + 5x = 2(4 + x) -25 + 5x = (4 * 2 + x * 2) -25 + 5x = (8 + 2x) Solving -25 + 5x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -25 + 5x + -2x = 8 + 2x + -2x Combine like terms: 5x + -2x = 3x -25 + 3x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -25 + 3x = 8 + 0 -25 + 3x = 8 Add '25' to each side of the equation. -25 + 25 + 3x = 8 + 25 Combine like terms: -25 + 25 = 0 0 + 3x = 8 + 25 3x = 8 + 25 Combine like terms: 8 + 25 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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