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Simplifying 24x + -14 = -2(1 + -6x) Reorder the terms: -14 + 24x = -2(1 + -6x) -14 + 24x = (1 * -2 + -6x * -2) -14 + 24x = (-2 + 12x) Solving -14 + 24x = -2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -14 + 24x + -12x = -2 + 12x + -12x Combine like terms: 24x + -12x = 12x -14 + 12x = -2 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + 12x = -2 + 0 -14 + 12x = -2 Add '14' to each side of the equation. -14 + 14 + 12x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 12x = -2 + 14 12x = -2 + 14 Combine like terms: -2 + 14 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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