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Simplifying 5xt + 2 + -6x + -10 = x + 520 Reorder the terms: 2 + -10 + 5tx + -6x = x + 520 Combine like terms: 2 + -10 = -8 -8 + 5tx + -6x = x + 520 Reorder the terms: -8 + 5tx + -6x = 520 + x Solving -8 + 5tx + -6x = 520 + x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 5tx + 8 + -6x = 520 + 8 + x Reorder the terms: -8 + 8 + 5tx + -6x = 520 + 8 + x Combine like terms: -8 + 8 = 0 0 + 5tx + -6x = 520 + 8 + x 5tx + -6x = 520 + 8 + x Combine like terms: 520 + 8 = 528 5tx + -6x = 528 + x Add '6x' to each side of the equation. 5tx + -6x + 6x = 528 + x + 6x Combine like terms: -6x + 6x = 0 5tx + 0 = 528 + x + 6x 5tx = 528 + x + 6x Combine like terms: x + 6x = 7x 5tx = 528 + 7x Divide each side by '5x'. t = 105.6x-1 + 1.4 Simplifying t = 105.6x-1 + 1.4 Reorder the terms: t = 1.4 + 105.6x-1
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