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Simplifying 8(x + -2) = -2(x + -2) Reorder the terms: 8(-2 + x) = -2(x + -2) (-2 * 8 + x * 8) = -2(x + -2) (-16 + 8x) = -2(x + -2) Reorder the terms: -16 + 8x = -2(-2 + x) -16 + 8x = (-2 * -2 + x * -2) -16 + 8x = (4 + -2x) Solving -16 + 8x = 4 + -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. -16 + 8x + 2x = 4 + -2x + 2x Combine like terms: 8x + 2x = 10x -16 + 10x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 10x = 4 + 0 -16 + 10x = 4 Add '16' to each side of the equation. -16 + 16 + 10x = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 10x = 4 + 16 10x = 4 + 16 Combine like terms: 4 + 16 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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