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Simplifying 5(5x + 5) = -1(6 + -3x) Reorder the terms: 5(5 + 5x) = -1(6 + -3x) (5 * 5 + 5x * 5) = -1(6 + -3x) (25 + 25x) = -1(6 + -3x) 25 + 25x = (6 * -1 + -3x * -1) 25 + 25x = (-6 + 3x) Solving 25 + 25x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 25 + 25x + -3x = -6 + 3x + -3x Combine like terms: 25x + -3x = 22x 25 + 22x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 25 + 22x = -6 + 0 25 + 22x = -6 Add '-25' to each side of the equation. 25 + -25 + 22x = -6 + -25 Combine like terms: 25 + -25 = 0 0 + 22x = -6 + -25 22x = -6 + -25 Combine like terms: -6 + -25 = -31 22x = -31 Divide each side by '22'. x = -1.409090909 Simplifying x = -1.409090909
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