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Simplifying 6x + 6(2t + -1) = 3 + 12t Reorder the terms: 6x + 6(-1 + 2t) = 3 + 12t 6x + (-1 * 6 + 2t * 6) = 3 + 12t 6x + (-6 + 12t) = 3 + 12t Reorder the terms: -6 + 12t + 6x = 3 + 12t Add '-12t' to each side of the equation. -6 + 12t + -12t + 6x = 3 + 12t + -12t Combine like terms: 12t + -12t = 0 -6 + 0 + 6x = 3 + 12t + -12t -6 + 6x = 3 + 12t + -12t Combine like terms: 12t + -12t = 0 -6 + 6x = 3 + 0 -6 + 6x = 3 Solving -6 + 6x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 3 + 6 6x = 3 + 6 Combine like terms: 3 + 6 = 9 6x = 9 Divide each side by '6'. x = 1.5 Simplifying x = 1.5
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