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Simplifying 4(x + 6) = -2(x + -18) Reorder the terms: 4(6 + x) = -2(x + -18) (6 * 4 + x * 4) = -2(x + -18) (24 + 4x) = -2(x + -18) Reorder the terms: 24 + 4x = -2(-18 + x) 24 + 4x = (-18 * -2 + x * -2) 24 + 4x = (36 + -2x) Solving 24 + 4x = 36 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 24 + 4x + 2x = 36 + -2x + 2x Combine like terms: 4x + 2x = 6x 24 + 6x = 36 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + 6x = 36 + 0 24 + 6x = 36 Add '-24' to each side of the equation. 24 + -24 + 6x = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 36 + -24 6x = 36 + -24 Combine like terms: 36 + -24 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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