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Simplifying 5(x + 5) = 4(x + -6) Reorder the terms: 5(5 + x) = 4(x + -6) (5 * 5 + x * 5) = 4(x + -6) (25 + 5x) = 4(x + -6) Reorder the terms: 25 + 5x = 4(-6 + x) 25 + 5x = (-6 * 4 + x * 4) 25 + 5x = (-24 + 4x) Solving 25 + 5x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 25 + 5x + -4x = -24 + 4x + -4x Combine like terms: 5x + -4x = 1x 25 + 1x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 25 + 1x = -24 + 0 25 + 1x = -24 Add '-25' to each side of the equation. 25 + -25 + 1x = -24 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = -24 + -25 1x = -24 + -25 Combine like terms: -24 + -25 = -49 1x = -49 Divide each side by '1'. x = -49 Simplifying x = -49
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