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Simplifying 12 + 8x + t + -7x = 0 Reorder the terms: 12 + t + 8x + -7x = 0 Combine like terms: 8x + -7x = 1x 12 + t + 1x = 0 Solving 12 + t + 1x = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + t + -12 + 1x = 0 + -12 Reorder the terms: 12 + -12 + t + 1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + t + 1x = 0 + -12 t + 1x = 0 + -12 Combine like terms: 0 + -12 = -12 t + 1x = -12 Add '-1x' to each side of the equation. t + 1x + -1x = -12 + -1x Combine like terms: 1x + -1x = 0 t + 0 = -12 + -1x t = -12 + -1x Simplifying t = -12 + -1x
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