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Simplifying 2(-2x + -5) = -2(3x + -10) Reorder the terms: 2(-5 + -2x) = -2(3x + -10) (-5 * 2 + -2x * 2) = -2(3x + -10) (-10 + -4x) = -2(3x + -10) Reorder the terms: -10 + -4x = -2(-10 + 3x) -10 + -4x = (-10 * -2 + 3x * -2) -10 + -4x = (20 + -6x) Solving -10 + -4x = 20 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -10 + -4x + 6x = 20 + -6x + 6x Combine like terms: -4x + 6x = 2x -10 + 2x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 2x = 20 + 0 -10 + 2x = 20 Add '10' to each side of the equation. -10 + 10 + 2x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 20 + 10 2x = 20 + 10 Combine like terms: 20 + 10 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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