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Simplifying 2(2x + -1) + 3(t + 3) = 36 Reorder the terms: 2(-1 + 2x) + 3(t + 3) = 36 (-1 * 2 + 2x * 2) + 3(t + 3) = 36 (-2 + 4x) + 3(t + 3) = 36 Reorder the terms: -2 + 4x + 3(3 + t) = 36 -2 + 4x + (3 * 3 + t * 3) = 36 -2 + 4x + (9 + 3t) = 36 Reorder the terms: -2 + 9 + 3t + 4x = 36 Combine like terms: -2 + 9 = 7 7 + 3t + 4x = 36 Solving 7 + 3t + 4x = 36 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 3t + -7 + 4x = 36 + -7 Reorder the terms: 7 + -7 + 3t + 4x = 36 + -7 Combine like terms: 7 + -7 = 0 0 + 3t + 4x = 36 + -7 3t + 4x = 36 + -7 Combine like terms: 36 + -7 = 29 3t + 4x = 29 Add '-4x' to each side of the equation. 3t + 4x + -4x = 29 + -4x Combine like terms: 4x + -4x = 0 3t + 0 = 29 + -4x 3t = 29 + -4x Divide each side by '3'. t = 9.666666667 + -1.333333333x Simplifying t = 9.666666667 + -1.333333333x
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