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Simplifying -2(3x + 6) = -10x + 3x + 8 Reorder the terms: -2(6 + 3x) = -10x + 3x + 8 (6 * -2 + 3x * -2) = -10x + 3x + 8 (-12 + -6x) = -10x + 3x + 8 Reorder the terms: -12 + -6x = 8 + -10x + 3x Combine like terms: -10x + 3x = -7x -12 + -6x = 8 + -7x Solving -12 + -6x = 8 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -12 + -6x + 7x = 8 + -7x + 7x Combine like terms: -6x + 7x = 1x -12 + 1x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 -12 + 1x = 8 + 0 -12 + 1x = 8 Add '12' to each side of the equation. -12 + 12 + 1x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 8 + 12 1x = 8 + 12 Combine like terms: 8 + 12 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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