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Simplifying -2(3x + 2) = 2x + 6 Reorder the terms: -2(2 + 3x) = 2x + 6 (2 * -2 + 3x * -2) = 2x + 6 (-4 + -6x) = 2x + 6 Reorder the terms: -4 + -6x = 6 + 2x Solving -4 + -6x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + -6x + -2x = 6 + 2x + -2x Combine like terms: -6x + -2x = -8x -4 + -8x = 6 + 2x + -2x Combine like terms: 2x + -2x = 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 = 10 -8x = 10 Divide each side by '-8'. x = -1.25 Simplifying x = -1.25
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