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Simplifying 2(x + -6) = 24 + -6(x + 2) Reorder the terms: 2(-6 + x) = 24 + -6(x + 2) (-6 * 2 + x * 2) = 24 + -6(x + 2) (-12 + 2x) = 24 + -6(x + 2) Reorder the terms: -12 + 2x = 24 + -6(2 + x) -12 + 2x = 24 + (2 * -6 + x * -6) -12 + 2x = 24 + (-12 + -6x) Combine like terms: 24 + -12 = 12 -12 + 2x = 12 + -6x Solving -12 + 2x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -12 + 2x + 6x = 12 + -6x + 6x Combine like terms: 2x + 6x = 8x -12 + 8x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 8x = 12 + 0 -12 + 8x = 12 Add '12' to each side of the equation. -12 + 12 + 8x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 12 + 12 8x = 12 + 12 Combine like terms: 12 + 12 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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