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Simplifying 5x + 3(x + -7) + -9t = 0 Reorder the terms: 5x + 3(-7 + x) + -9t = 0 5x + (-7 * 3 + x * 3) + -9t = 0 5x + (-21 + 3x) + -9t = 0 Reorder the terms: -21 + -9t + 5x + 3x = 0 Combine like terms: 5x + 3x = 8x -21 + -9t + 8x = 0 Solving -21 + -9t + 8x = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '21' to each side of the equation. -21 + -9t + 21 + 8x = 0 + 21 Reorder the terms: -21 + 21 + -9t + 8x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -9t + 8x = 0 + 21 -9t + 8x = 0 + 21 Combine like terms: 0 + 21 = 21 -9t + 8x = 21 Add '-8x' to each side of the equation. -9t + 8x + -8x = 21 + -8x Combine like terms: 8x + -8x = 0 -9t + 0 = 21 + -8x -9t = 21 + -8x Divide each side by '-9'. t = -2.333333333 + 0.8888888889x Simplifying t = -2.333333333 + 0.8888888889x
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