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Simplifying -2(6x + 1) + 2x = -14 + -6x Reorder the terms: -2(1 + 6x) + 2x = -14 + -6x (1 * -2 + 6x * -2) + 2x = -14 + -6x (-2 + -12x) + 2x = -14 + -6x Combine like terms: -12x + 2x = -10x -2 + -10x = -14 + -6x Solving -2 + -10x = -14 + -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. -2 + -10x + 6x = -14 + -6x + 6x Combine like terms: -10x + 6x = -4x -2 + -4x = -14 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + -4x = -14 + 0 -2 + -4x = -14 Add '2' to each side of the equation. -2 + 2 + -4x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -14 + 2 -4x = -14 + 2 Combine like terms: -14 + 2 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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