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Simplifying 2(x + 18) = -4(x + -6) Reorder the terms: 2(18 + x) = -4(x + -6) (18 * 2 + x * 2) = -4(x + -6) (36 + 2x) = -4(x + -6) Reorder the terms: 36 + 2x = -4(-6 + x) 36 + 2x = (-6 * -4 + x * -4) 36 + 2x = (24 + -4x) Solving 36 + 2x = 24 + -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. 36 + 2x + 4x = 24 + -4x + 4x Combine like terms: 2x + 4x = 6x 36 + 6x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 36 + 6x = 24 + 0 36 + 6x = 24 Add '-36' to each side of the equation. 36 + -36 + 6x = 24 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = 24 + -36 6x = 24 + -36 Combine like terms: 24 + -36 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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