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Simplifying 7 + 8 + (2x + 3x) + (4z + 5z) = 0 Combine like terms: 2x + 3x = 5x 7 + 8 + (5x) + (4z + 5z) = 0 7 + 8 + (5x) + (4z + 5z) = 0 Combine like terms: 4z + 5z = 9z 7 + 8 + (5x) + (9z) = 0 7 + 8 + (5x) + (9z) = 0 Combine like terms: 7 + 8 = 15 15 + (5x) + (9z) = 0 Solving 15 + (5x) + (9z) = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + (5x) + -15 + (9z) = 0 + -15 Reorder the terms: 15 + -15 + (5x) + (9z) = 0 + -15 Combine like terms: 15 + -15 = 0 0 + (5x) + (9z) = 0 + -15 (5x) + (9z) = 0 + -15 Combine like terms: 0 + -15 = -15 (5x) + (9z) = -15 Add '(-9z)' to each side of the equation. (5x) + (9z) + (-9z) = -15 + (-9z) Combine like terms: (9z) + (-9z) = 0 (5x) + 0 = -15 + (-9z) (5x) = -15 + (-9z) Divide each side by '5'. x = -3 + (-1.8z) Simplifying x = -3 + (-1.8z)
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