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Simplifying 6x + 9 = 3(4x + -27) Reorder the terms: 9 + 6x = 3(4x + -27) Reorder the terms: 9 + 6x = 3(-27 + 4x) 9 + 6x = (-27 * 3 + 4x * 3) 9 + 6x = (-81 + 12x) Solving 9 + 6x = -81 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 9 + 6x + -12x = -81 + 12x + -12x Combine like terms: 6x + -12x = -6x 9 + -6x = -81 + 12x + -12x Combine like terms: 12x + -12x = 0 9 + -6x = -81 + 0 9 + -6x = -81 Add '-9' to each side of the equation. 9 + -9 + -6x = -81 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = -81 + -9 -6x = -81 + -9 Combine like terms: -81 + -9 = -90 -6x = -90 Divide each side by '-6'. x = 15 Simplifying x = 15
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