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Simplifying -6(3x + 6) = -3(5x + 9) Reorder the terms: -6(6 + 3x) = -3(5x + 9) (6 * -6 + 3x * -6) = -3(5x + 9) (-36 + -18x) = -3(5x + 9) Reorder the terms: -36 + -18x = -3(9 + 5x) -36 + -18x = (9 * -3 + 5x * -3) -36 + -18x = (-27 + -15x) Solving -36 + -18x = -27 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -36 + -18x + 15x = -27 + -15x + 15x Combine like terms: -18x + 15x = -3x -36 + -3x = -27 + -15x + 15x Combine like terms: -15x + 15x = 0 -36 + -3x = -27 + 0 -36 + -3x = -27 Add '36' to each side of the equation. -36 + 36 + -3x = -27 + 36 Combine like terms: -36 + 36 = 0 0 + -3x = -27 + 36 -3x = -27 + 36 Combine like terms: -27 + 36 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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