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Simplifying -2(x + 12) = x + 6(4) Reorder the terms: -2(12 + x) = x + 6(4) (12 * -2 + x * -2) = x + 6(4) (-24 + -2x) = x + 6(4) Multiply 6 * 4 -24 + -2x = x + 24 Reorder the terms: -24 + -2x = 24 + x Solving -24 + -2x = 24 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -24 + -2x + -1x = 24 + x + -1x Combine like terms: -2x + -1x = -3x -24 + -3x = 24 + x + -1x Combine like terms: x + -1x = 0 -24 + -3x = 24 + 0 -24 + -3x = 24 Add '24' to each side of the equation. -24 + 24 + -3x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = 24 + 24 -3x = 24 + 24 Combine like terms: 24 + 24 = 48 -3x = 48 Divide each side by '-3'. x = -16 Simplifying x = -16
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