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Simplifying -6(x + 4) = -3(x + 9) Reorder the terms: -6(4 + x) = -3(x + 9) (4 * -6 + x * -6) = -3(x + 9) (-24 + -6x) = -3(x + 9) Reorder the terms: -24 + -6x = -3(9 + x) -24 + -6x = (9 * -3 + x * -3) -24 + -6x = (-27 + -3x) Solving -24 + -6x = -27 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + -6x + 3x = -27 + -3x + 3x Combine like terms: -6x + 3x = -3x -24 + -3x = -27 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + -3x = -27 + 0 -24 + -3x = -27 Add '24' to each side of the equation. -24 + 24 + -3x = -27 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = -27 + 24 -3x = -27 + 24 Combine like terms: -27 + 24 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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