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Simplifying 7x + -8x + 12 + -7tx = 49 Reorder the terms: 12 + -7tx + 7x + -8x = 49 Combine like terms: 7x + -8x = -1x 12 + -7tx + -1x = 49 Solving 12 + -7tx + -1x = 49 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 + -7tx + -12 + -1x = 49 + -12 Reorder the terms: 12 + -12 + -7tx + -1x = 49 + -12 Combine like terms: 12 + -12 = 0 0 + -7tx + -1x = 49 + -12 -7tx + -1x = 49 + -12 Combine like terms: 49 + -12 = 37 -7tx + -1x = 37 Add 'x' to each side of the equation. -7tx + -1x + x = 37 + x Combine like terms: -1x + x = 0 -7tx + 0 = 37 + x -7tx = 37 + x Divide each side by '-7x'. t = -5.285714286x-1 + -0.1428571429 Simplifying t = -5.285714286x-1 + -0.1428571429 Reorder the terms: t = -0.1428571429 + -5.285714286x-1
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