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Simplifying -2(x + 2) + 6(x + -2) = 8 Reorder the terms: -2(2 + x) + 6(x + -2) = 8 (2 * -2 + x * -2) + 6(x + -2) = 8 (-4 + -2x) + 6(x + -2) = 8 Reorder the terms: -4 + -2x + 6(-2 + x) = 8 -4 + -2x + (-2 * 6 + x * 6) = 8 -4 + -2x + (-12 + 6x) = 8 Reorder the terms: -4 + -12 + -2x + 6x = 8 Combine like terms: -4 + -12 = -16 -16 + -2x + 6x = 8 Combine like terms: -2x + 6x = 4x -16 + 4x = 8 Solving -16 + 4x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 4x = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = 8 + 16 4x = 8 + 16 Combine like terms: 8 + 16 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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