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Simplifying 2(x + -5) = -1(3x + 5) Reorder the terms: 2(-5 + x) = -1(3x + 5) (-5 * 2 + x * 2) = -1(3x + 5) (-10 + 2x) = -1(3x + 5) Reorder the terms: -10 + 2x = -1(5 + 3x) -10 + 2x = (5 * -1 + 3x * -1) -10 + 2x = (-5 + -3x) Solving -10 + 2x = -5 + -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. -10 + 2x + 3x = -5 + -3x + 3x Combine like terms: 2x + 3x = 5x -10 + 5x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 5x = -5 + 0 -10 + 5x = -5 Add '10' to each side of the equation. -10 + 10 + 5x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = -5 + 10 5x = -5 + 10 Combine like terms: -5 + 10 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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