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Simplifying 2x + -6 = -2(3x + -7) + -2x Reorder the terms: -6 + 2x = -2(3x + -7) + -2x Reorder the terms: -6 + 2x = -2(-7 + 3x) + -2x -6 + 2x = (-7 * -2 + 3x * -2) + -2x -6 + 2x = (14 + -6x) + -2x Combine like terms: -6x + -2x = -8x -6 + 2x = 14 + -8x Solving -6 + 2x = 14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -6 + 2x + 8x = 14 + -8x + 8x Combine like terms: 2x + 8x = 10x -6 + 10x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 10x = 14 + 0 -6 + 10x = 14 Add '6' to each side of the equation. -6 + 6 + 10x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = 14 + 6 10x = 14 + 6 Combine like terms: 14 + 6 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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