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Simplifying 3(2x + -2) = -2(4x + -11) Reorder the terms: 3(-2 + 2x) = -2(4x + -11) (-2 * 3 + 2x * 3) = -2(4x + -11) (-6 + 6x) = -2(4x + -11) Reorder the terms: -6 + 6x = -2(-11 + 4x) -6 + 6x = (-11 * -2 + 4x * -2) -6 + 6x = (22 + -8x) Solving -6 + 6x = 22 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -6 + 6x + 8x = 22 + -8x + 8x Combine like terms: 6x + 8x = 14x -6 + 14x = 22 + -8x + 8x Combine like terms: -8x + 8x = 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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