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Simplifying 14 + -3(5x + -12) = 1 + -1(20t + 1) Reorder the terms: 14 + -3(-12 + 5x) = 1 + -1(20t + 1) 14 + (-12 * -3 + 5x * -3) = 1 + -1(20t + 1) 14 + (36 + -15x) = 1 + -1(20t + 1) Combine like terms: 14 + 36 = 50 50 + -15x = 1 + -1(20t + 1) Reorder the terms: 50 + -15x = 1 + -1(1 + 20t) 50 + -15x = 1 + (1 * -1 + 20t * -1) 50 + -15x = 1 + (-1 + -20t) Combine like terms: 1 + -1 = 0 50 + -15x = 0 + -20t 50 + -15x = -20t Solving 50 + -15x = -20t Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -15x = -50 + -20t Combine like terms: 50 + -50 = 0 0 + -15x = -50 + -20t -15x = -50 + -20t Divide each side by '-15'. x = 3.333333333 + 1.333333333t Simplifying x = 3.333333333 + 1.333333333t
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