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Simplifying 37 = -3t + 5(x + 6) Reorder the terms: 37 = -3t + 5(6 + x) 37 = -3t + (6 * 5 + x * 5) 37 = -3t + (30 + 5x) Reorder the terms: 37 = 30 + -3t + 5x Solving 37 = 30 + -3t + 5x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 37 + 3t = 30 + -3t + 3t + 5x Combine like terms: -3t + 3t = 0 37 + 3t = 30 + 0 + 5x 37 + 3t = 30 + 5x Add '-37' to each side of the equation. 37 + -37 + 3t = 30 + -37 + 5x Combine like terms: 37 + -37 = 0 0 + 3t = 30 + -37 + 5x 3t = 30 + -37 + 5x Combine like terms: 30 + -37 = -7 3t = -7 + 5x Divide each side by '3'. t = -2.333333333 + 1.666666667x Simplifying t = -2.333333333 + 1.666666667x
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