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Simplifying 3z + 2 + 5(x + -1) = 8x + 17 Reorder the terms: 3z + 2 + 5(-1 + x) = 8x + 17 3z + 2 + (-1 * 5 + x * 5) = 8x + 17 3z + 2 + (-5 + 5x) = 8x + 17 Reorder the terms: 2 + -5 + 5x + 3z = 8x + 17 Combine like terms: 2 + -5 = -3 -3 + 5x + 3z = 8x + 17 Reorder the terms: -3 + 5x + 3z = 17 + 8x Solving -3 + 5x + 3z = 17 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + 5x + -8x + 3z = 17 + 8x + -8x Combine like terms: 5x + -8x = -3x -3 + -3x + 3z = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -3x + 3z = 17 + 0 -3 + -3x + 3z = 17 Add '3' to each side of the equation. -3 + -3x + 3 + 3z = 17 + 3 Reorder the terms: -3 + 3 + -3x + 3z = 17 + 3 Combine like terms: -3 + 3 = 0 0 + -3x + 3z = 17 + 3 -3x + 3z = 17 + 3 Combine like terms: 17 + 3 = 20 -3x + 3z = 20 Add '-3z' to each side of the equation. -3x + 3z + -3z = 20 + -3z Combine like terms: 3z + -3z = 0 -3x + 0 = 20 + -3z -3x = 20 + -3z Divide each side by '-3'. x = -6.666666667 + z Simplifying x = -6.666666667 + z
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