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Simplifying -6(x + -3) = -3(x + 9) Reorder the terms: -6(-3 + x) = -3(x + 9) (-3 * -6 + x * -6) = -3(x + 9) (18 + -6x) = -3(x + 9) Reorder the terms: 18 + -6x = -3(9 + x) 18 + -6x = (9 * -3 + x * -3) 18 + -6x = (-27 + -3x) Solving 18 + -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. 18 + -6x + 3x = -27 + -3x + 3x Combine like terms: -6x + 3x = -3x 18 + -3x = -27 + -3x + 3x Combine like terms: -3x + 3x = 0 18 + -3x = -27 + 0 18 + -3x = -27 Add '-18' to each side of the equation. 18 + -18 + -3x = -27 + -18 Combine like terms: 18 + -18 = 0 0 + -3x = -27 + -18 -3x = -27 + -18 Combine like terms: -27 + -18 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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