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Simplifying 2(2t + 4) = 4x + -12(x + -1) Reorder the terms: 2(4 + 2t) = 4x + -12(x + -1) (4 * 2 + 2t * 2) = 4x + -12(x + -1) (8 + 4t) = 4x + -12(x + -1) Reorder the terms: 8 + 4t = 4x + -12(-1 + x) 8 + 4t = 4x + (-1 * -12 + x * -12) 8 + 4t = 4x + (12 + -12x) Reorder the terms: 8 + 4t = 12 + 4x + -12x Combine like terms: 4x + -12x = -8x 8 + 4t = 12 + -8x Solving 8 + 4t = 12 + -8x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4t = 12 + -8 + -8x Combine like terms: 8 + -8 = 0 0 + 4t = 12 + -8 + -8x 4t = 12 + -8 + -8x Combine like terms: 12 + -8 = 4 4t = 4 + -8x Divide each side by '4'. t = 1 + -2x Simplifying t = 1 + -2x
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