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Simplifying 5 + -1(t + 3) = -2x + 1 + 9x + -5 Reorder the terms: 5 + -1(3 + t) = -2x + 1 + 9x + -5 5 + (3 * -1 + t * -1) = -2x + 1 + 9x + -5 5 + (-3 + -1t) = -2x + 1 + 9x + -5 Combine like terms: 5 + -3 = 2 2 + -1t = -2x + 1 + 9x + -5 Reorder the terms: 2 + -1t = 1 + -5 + -2x + 9x Combine like terms: 1 + -5 = -4 2 + -1t = -4 + -2x + 9x Combine like terms: -2x + 9x = 7x 2 + -1t = -4 + 7x Solving 2 + -1t = -4 + 7x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1t = -4 + -2 + 7x Combine like terms: 2 + -2 = 0 0 + -1t = -4 + -2 + 7x -1t = -4 + -2 + 7x Combine like terms: -4 + -2 = -6 -1t = -6 + 7x Divide each side by '-1'. t = 6 + -7x Simplifying t = 6 + -7x
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