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Simplifying 2(2t + -3) = -7(x + 5) Reorder the terms: 2(-3 + 2t) = -7(x + 5) (-3 * 2 + 2t * 2) = -7(x + 5) (-6 + 4t) = -7(x + 5) Reorder the terms: -6 + 4t = -7(5 + x) -6 + 4t = (5 * -7 + x * -7) -6 + 4t = (-35 + -7x) Solving -6 + 4t = -35 + -7x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4t = -35 + 6 + -7x Combine like terms: -6 + 6 = 0 0 + 4t = -35 + 6 + -7x 4t = -35 + 6 + -7x Combine like terms: -35 + 6 = -29 4t = -29 + -7x Divide each side by '4'. t = -7.25 + -1.75x Simplifying t = -7.25 + -1.75x
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