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Simplifying 14x + -24 = 8 + -2(3x + -4) Reorder the terms: -24 + 14x = 8 + -2(3x + -4) Reorder the terms: -24 + 14x = 8 + -2(-4 + 3x) -24 + 14x = 8 + (-4 * -2 + 3x * -2) -24 + 14x = 8 + (8 + -6x) Combine like terms: 8 + 8 = 16 -24 + 14x = 16 + -6x Solving -24 + 14x = 16 + -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. -24 + 14x + 6x = 16 + -6x + 6x Combine like terms: 14x + 6x = 20x -24 + 20x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 -24 + 20x = 16 + 0 -24 + 20x = 16 Add '24' to each side of the equation. -24 + 24 + 20x = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 20x = 16 + 24 20x = 16 + 24 Combine like terms: 16 + 24 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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