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Simplifying 12 = 3(x + -2) + 6(-1 + 6x) Reorder the terms: 12 = 3(-2 + x) + 6(-1 + 6x) 12 = (-2 * 3 + x * 3) + 6(-1 + 6x) 12 = (-6 + 3x) + 6(-1 + 6x) 12 = -6 + 3x + (-1 * 6 + 6x * 6) 12 = -6 + 3x + (-6 + 36x) Reorder the terms: 12 = -6 + -6 + 3x + 36x Combine like terms: -6 + -6 = -12 12 = -12 + 3x + 36x Combine like terms: 3x + 36x = 39x 12 = -12 + 39x Solving 12 = -12 + 39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39x' to each side of the equation. 12 + -39x = -12 + 39x + -39x Combine like terms: 39x + -39x = 0 12 + -39x = -12 + 0 12 + -39x = -12 Add '-12' to each side of the equation. 12 + -12 + -39x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -39x = -12 + -12 -39x = -12 + -12 Combine like terms: -12 + -12 = -24 -39x = -24 Divide each side by '-39'. x = 0.6153846154 Simplifying x = 0.6153846154
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