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Simplifying -6(x + -4) = 4(x + -9) Reorder the terms: -6(-4 + x) = 4(x + -9) (-4 * -6 + x * -6) = 4(x + -9) (24 + -6x) = 4(x + -9) Reorder the terms: 24 + -6x = 4(-9 + x) 24 + -6x = (-9 * 4 + x * 4) 24 + -6x = (-36 + 4x) Solving 24 + -6x = -36 + 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. 24 + -6x + -4x = -36 + 4x + -4x Combine like terms: -6x + -4x = -10x 24 + -10x = -36 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + -10x = -36 + 0 24 + -10x = -36 Add '-24' to each side of the equation. 24 + -24 + -10x = -36 + -24 Combine like terms: 24 + -24 = 0 0 + -10x = -36 + -24 -10x = -36 + -24 Combine like terms: -36 + -24 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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