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Simplifying -2(x + 6) = 4(x + 8) Reorder the terms: -2(6 + x) = 4(x + 8) (6 * -2 + x * -2) = 4(x + 8) (-12 + -2x) = 4(x + 8) Reorder the terms: -12 + -2x = 4(8 + x) -12 + -2x = (8 * 4 + x * 4) -12 + -2x = (32 + 4x) Solving -12 + -2x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + -2x + -4x = 32 + 4x + -4x Combine like terms: -2x + -4x = -6x -12 + -6x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -6x = 32 + 0 -12 + -6x = 32 Add '12' to each side of the equation. -12 + 12 + -6x = 32 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = 32 + 12 -6x = 32 + 12 Combine like terms: 32 + 12 = 44 -6x = 44 Divide each side by '-6'. x = -7.333333333 Simplifying x = -7.333333333
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