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Simplifying -2 + 8x = -2(4x + -7) Reorder the terms: -2 + 8x = -2(-7 + 4x) -2 + 8x = (-7 * -2 + 4x * -2) -2 + 8x = (14 + -8x) Solving -2 + 8x = 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. -2 + 8x + 8x = 14 + -8x + 8x Combine like terms: 8x + 8x = 16x -2 + 16x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 -2 + 16x = 14 + 0 -2 + 16x = 14 Add '2' to each side of the equation. -2 + 2 + 16x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 16x = 14 + 2 16x = 14 + 2 Combine like terms: 14 + 2 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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