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Simplifying 3 + -6(4x + -6) = 9 + 6x Reorder the terms: 3 + -6(-6 + 4x) = 9 + 6x 3 + (-6 * -6 + 4x * -6) = 9 + 6x 3 + (36 + -24x) = 9 + 6x Combine like terms: 3 + 36 = 39 39 + -24x = 9 + 6x Solving 39 + -24x = 9 + 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. 39 + -24x + -6x = 9 + 6x + -6x Combine like terms: -24x + -6x = -30x 39 + -30x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 39 + -30x = 9 + 0 39 + -30x = 9 Add '-39' to each side of the equation. 39 + -39 + -30x = 9 + -39 Combine like terms: 39 + -39 = 0 0 + -30x = 9 + -39 -30x = 9 + -39 Combine like terms: 9 + -39 = -30 -30x = -30 Divide each side by '-30'. x = 1 Simplifying x = 1
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