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Simplifying -4(x + -9) = -6(x + -3) Reorder the terms: -4(-9 + x) = -6(x + -3) (-9 * -4 + x * -4) = -6(x + -3) (36 + -4x) = -6(x + -3) Reorder the terms: 36 + -4x = -6(-3 + x) 36 + -4x = (-3 * -6 + x * -6) 36 + -4x = (18 + -6x) Solving 36 + -4x = 18 + -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. 36 + -4x + 6x = 18 + -6x + 6x Combine like terms: -4x + 6x = 2x 36 + 2x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 36 + 2x = 18 + 0 36 + 2x = 18 Add '-36' to each side of the equation. 36 + -36 + 2x = 18 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = 18 + -36 2x = 18 + -36 Combine like terms: 18 + -36 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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