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Simplifying 2(2x + -3) = -2(5x + -11) Reorder the terms: 2(-3 + 2x) = -2(5x + -11) (-3 * 2 + 2x * 2) = -2(5x + -11) (-6 + 4x) = -2(5x + -11) Reorder the terms: -6 + 4x = -2(-11 + 5x) -6 + 4x = (-11 * -2 + 5x * -2) -6 + 4x = (22 + -10x) Solving -6 + 4x = 22 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -6 + 4x + 10x = 22 + -10x + 10x Combine like terms: 4x + 10x = 14x -6 + 14x = 22 + -10x + 10x Combine like terms: -10x + 10x = 0 -6 + 14x = 22 + 0 -6 + 14x = 22 Add '6' to each side of the equation. -6 + 6 + 14x = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = 22 + 6 14x = 22 + 6 Combine like terms: 22 + 6 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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