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Simplifying -6(6x + 9) = -10(3 + 3x) Reorder the terms: -6(9 + 6x) = -10(3 + 3x) (9 * -6 + 6x * -6) = -10(3 + 3x) (-54 + -36x) = -10(3 + 3x) -54 + -36x = (3 * -10 + 3x * -10) -54 + -36x = (-30 + -30x) Solving -54 + -36x = -30 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -54 + -36x + 30x = -30 + -30x + 30x Combine like terms: -36x + 30x = -6x -54 + -6x = -30 + -30x + 30x Combine like terms: -30x + 30x = 0 -54 + -6x = -30 + 0 -54 + -6x = -30 Add '54' to each side of the equation. -54 + 54 + -6x = -30 + 54 Combine like terms: -54 + 54 = 0 0 + -6x = -30 + 54 -6x = -30 + 54 Combine like terms: -30 + 54 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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