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Simplifying 6(4x + 6) = 12 + -6x Reorder the terms: 6(6 + 4x) = 12 + -6x (6 * 6 + 4x * 6) = 12 + -6x (36 + 24x) = 12 + -6x Solving 36 + 24x = 12 + -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. 36 + 24x + 6x = 12 + -6x + 6x Combine like terms: 24x + 6x = 30x 36 + 30x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 36 + 30x = 12 + 0 36 + 30x = 12 Add '-36' to each side of the equation. 36 + -36 + 30x = 12 + -36 Combine like terms: 36 + -36 = 0 0 + 30x = 12 + -36 30x = 12 + -36 Combine like terms: 12 + -36 = -24 30x = -24 Divide each side by '30'. x = -0.8 Simplifying x = -0.8
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