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Simplifying 5(x + 5) + -1(2x + -6) = 2x Reorder the terms: 5(5 + x) + -1(2x + -6) = 2x (5 * 5 + x * 5) + -1(2x + -6) = 2x (25 + 5x) + -1(2x + -6) = 2x Reorder the terms: 25 + 5x + -1(-6 + 2x) = 2x 25 + 5x + (-6 * -1 + 2x * -1) = 2x 25 + 5x + (6 + -2x) = 2x Reorder the terms: 25 + 6 + 5x + -2x = 2x Combine like terms: 25 + 6 = 31 31 + 5x + -2x = 2x Combine like terms: 5x + -2x = 3x 31 + 3x = 2x Solving 31 + 3x = 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. 31 + 3x + -2x = 2x + -2x Combine like terms: 3x + -2x = 1x 31 + 1x = 2x + -2x Combine like terms: 2x + -2x = 0 31 + 1x = 0 Add '-31' to each side of the equation. 31 + -31 + 1x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 1x = 0 + -31 1x = 0 + -31 Combine like terms: 0 + -31 = -31 1x = -31 Divide each side by '1'. x = -31 Simplifying x = -31
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