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Simplifying -2(x + 3) = -6(x + 4) Reorder the terms: -2(3 + x) = -6(x + 4) (3 * -2 + x * -2) = -6(x + 4) (-6 + -2x) = -6(x + 4) Reorder the terms: -6 + -2x = -6(4 + x) -6 + -2x = (4 * -6 + x * -6) -6 + -2x = (-24 + -6x) Solving -6 + -2x = -24 + -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. -6 + -2x + 6x = -24 + -6x + 6x Combine like terms: -2x + 6x = 4x -6 + 4x = -24 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 4x = -24 + 0 -6 + 4x = -24 Add '6' to each side of the equation. -6 + 6 + 4x = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -24 + 6 4x = -24 + 6 Combine like terms: -24 + 6 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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