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Simplifying 2x + -2 = -2(3x + -7) Reorder the terms: -2 + 2x = -2(3x + -7) Reorder the terms: -2 + 2x = -2(-7 + 3x) -2 + 2x = (-7 * -2 + 3x * -2) -2 + 2x = (14 + -6x) Solving -2 + 2x = 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 + 2x + 6x = 14 + -6x + 6x Combine like terms: 2x + 6x = 8x -2 + 8x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 8x = 14 + 0 -2 + 8x = 14 Add '2' to each side of the equation. -2 + 2 + 8x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 14 + 2 8x = 14 + 2 Combine like terms: 14 + 2 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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