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Simplifying -25 = -5(x + -1) + 9(x + -6) Reorder the terms: -25 = -5(-1 + x) + 9(x + -6) -25 = (-1 * -5 + x * -5) + 9(x + -6) -25 = (5 + -5x) + 9(x + -6) Reorder the terms: -25 = 5 + -5x + 9(-6 + x) -25 = 5 + -5x + (-6 * 9 + x * 9) -25 = 5 + -5x + (-54 + 9x) Reorder the terms: -25 = 5 + -54 + -5x + 9x Combine like terms: 5 + -54 = -49 -25 = -49 + -5x + 9x Combine like terms: -5x + 9x = 4x -25 = -49 + 4x Solving -25 = -49 + 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 + -4x = -49 + 4x + -4x Combine like terms: 4x + -4x = 0 -25 + -4x = -49 + 0 -25 + -4x = -49 Add '25' to each side of the equation. -25 + 25 + -4x = -49 + 25 Combine like terms: -25 + 25 = 0 0 + -4x = -49 + 25 -4x = -49 + 25 Combine like terms: -49 + 25 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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