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Simplifying 2x + -2(12 + -6x) = 22 + -5(4x + 12) 2x + (12 * -2 + -6x * -2) = 22 + -5(4x + 12) 2x + (-24 + 12x) = 22 + -5(4x + 12) Reorder the terms: -24 + 2x + 12x = 22 + -5(4x + 12) Combine like terms: 2x + 12x = 14x -24 + 14x = 22 + -5(4x + 12) Reorder the terms: -24 + 14x = 22 + -5(12 + 4x) -24 + 14x = 22 + (12 * -5 + 4x * -5) -24 + 14x = 22 + (-60 + -20x) Combine like terms: 22 + -60 = -38 -24 + 14x = -38 + -20x Solving -24 + 14x = -38 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -24 + 14x + 20x = -38 + -20x + 20x Combine like terms: 14x + 20x = 34x -24 + 34x = -38 + -20x + 20x Combine like terms: -20x + 20x = 0 -24 + 34x = -38 + 0 -24 + 34x = -38 Add '24' to each side of the equation. -24 + 24 + 34x = -38 + 24 Combine like terms: -24 + 24 = 0 0 + 34x = -38 + 24 34x = -38 + 24 Combine like terms: -38 + 24 = -14 34x = -14 Divide each side by '34'. x = -0.4117647059 Simplifying x = -0.4117647059
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