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Simplifying 20t + 7 = -6(4t + -5) + 2t + (5t + 1) + x Reorder the terms: 7 + 20t = -6(4t + -5) + 2t + (5t + 1) + x Reorder the terms: 7 + 20t = -6(-5 + 4t) + 2t + (5t + 1) + x 7 + 20t = (-5 * -6 + 4t * -6) + 2t + (5t + 1) + x 7 + 20t = (30 + -24t) + 2t + (5t + 1) + x Reorder the terms: 7 + 20t = 30 + -24t + 2t + (1 + 5t) + x Remove parenthesis around (1 + 5t) 7 + 20t = 30 + -24t + 2t + 1 + 5t + x Reorder the terms: 7 + 20t = 30 + 1 + -24t + 2t + 5t + x Combine like terms: 30 + 1 = 31 7 + 20t = 31 + -24t + 2t + 5t + x Combine like terms: -24t + 2t = -22t 7 + 20t = 31 + -22t + 5t + x Combine like terms: -22t + 5t = -17t 7 + 20t = 31 + -17t + x Solving 7 + 20t = 31 + -17t + x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '17t' to each side of the equation. 7 + 20t + 17t = 31 + -17t + 17t + x Combine like terms: 20t + 17t = 37t 7 + 37t = 31 + -17t + 17t + x Combine like terms: -17t + 17t = 0 7 + 37t = 31 + 0 + x 7 + 37t = 31 + x Add '-7' to each side of the equation. 7 + -7 + 37t = 31 + -7 + x Combine like terms: 7 + -7 = 0 0 + 37t = 31 + -7 + x 37t = 31 + -7 + x Combine like terms: 31 + -7 = 24 37t = 24 + x Divide each side by '37'. t = 0.6486486486 + 0.02702702703x Simplifying t = 0.6486486486 + 0.02702702703x
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