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Simplifying -2(x + -4) = 2 + -6(x + 3) Reorder the terms: -2(-4 + x) = 2 + -6(x + 3) (-4 * -2 + x * -2) = 2 + -6(x + 3) (8 + -2x) = 2 + -6(x + 3) Reorder the terms: 8 + -2x = 2 + -6(3 + x) 8 + -2x = 2 + (3 * -6 + x * -6) 8 + -2x = 2 + (-18 + -6x) Combine like terms: 2 + -18 = -16 8 + -2x = -16 + -6x Solving 8 + -2x = -16 + -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. 8 + -2x + 6x = -16 + -6x + 6x Combine like terms: -2x + 6x = 4x 8 + 4x = -16 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 4x = -16 + 0 8 + 4x = -16 Add '-8' to each side of the equation. 8 + -8 + 4x = -16 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = -16 + -8 4x = -16 + -8 Combine like terms: -16 + -8 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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