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Simplifying 2(3x + -2) = 2 + -8 + 14x Reorder the terms: 2(-2 + 3x) = 2 + -8 + 14x (-2 * 2 + 3x * 2) = 2 + -8 + 14x (-4 + 6x) = 2 + -8 + 14x Combine like terms: 2 + -8 = -6 -4 + 6x = -6 + 14x Solving -4 + 6x = -6 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -4 + 6x + -14x = -6 + 14x + -14x Combine like terms: 6x + -14x = -8x -4 + -8x = -6 + 14x + -14x Combine like terms: 14x + -14x = 0 -4 + -8x = -6 + 0 -4 + -8x = -6 Add '4' to each side of the equation. -4 + 4 + -8x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = -6 + 4 -8x = -6 + 4 Combine like terms: -6 + 4 = -2 -8x = -2 Divide each side by '-8'. x = 0.25 Simplifying x = 0.25
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