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Simplifying 7(7x + 1) = 49x + 7t Reorder the terms: 7(1 + 7x) = 49x + 7t (1 * 7 + 7x * 7) = 49x + 7t (7 + 49x) = 49x + 7t Reorder the terms: 7 + 49x = 7t + 49x Add '-49x' to each side of the equation. 7 + 49x + -49x = 7t + 49x + -49x Combine like terms: 49x + -49x = 0 7 + 0 = 7t + 49x + -49x 7 = 7t + 49x + -49x Combine like terms: 49x + -49x = 0 7 = 7t + 0 7 = 7t Solving 7 = 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 7 + -7t = 7t + -7t Combine like terms: 7t + -7t = 0 7 + -7t = 0 Add '-7' to each side of the equation. 7 + -7 + -7t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -7t = 0 + -7 -7t = 0 + -7 Combine like terms: 0 + -7 = -7 -7t = -7 Divide each side by '-7'. t = 1 Simplifying t = 1
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