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Simplifying 18(x + -6) + 3t = 7(3x + 2) + -12 Reorder the terms: 18(-6 + x) + 3t = 7(3x + 2) + -12 (-6 * 18 + x * 18) + 3t = 7(3x + 2) + -12 (-108 + 18x) + 3t = 7(3x + 2) + -12 Reorder the terms: -108 + 3t + 18x = 7(3x + 2) + -12 Reorder the terms: -108 + 3t + 18x = 7(2 + 3x) + -12 -108 + 3t + 18x = (2 * 7 + 3x * 7) + -12 -108 + 3t + 18x = (14 + 21x) + -12 Reorder the terms: -108 + 3t + 18x = 14 + -12 + 21x Combine like terms: 14 + -12 = 2 -108 + 3t + 18x = 2 + 21x Solving -108 + 3t + 18x = 2 + 21x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '108' to each side of the equation. -108 + 3t + 108 + 18x = 2 + 108 + 21x Reorder the terms: -108 + 108 + 3t + 18x = 2 + 108 + 21x Combine like terms: -108 + 108 = 0 0 + 3t + 18x = 2 + 108 + 21x 3t + 18x = 2 + 108 + 21x Combine like terms: 2 + 108 = 110 3t + 18x = 110 + 21x Add '-18x' to each side of the equation. 3t + 18x + -18x = 110 + 21x + -18x Combine like terms: 18x + -18x = 0 3t + 0 = 110 + 21x + -18x 3t = 110 + 21x + -18x Combine like terms: 21x + -18x = 3x 3t = 110 + 3x Divide each side by '3'. t = 36.66666667 + x Simplifying t = 36.66666667 + x
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