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Simplifying 2 = 5(5z + -2) + -9(3x + -2) Reorder the terms: 2 = 5(-2 + 5z) + -9(3x + -2) 2 = (-2 * 5 + 5z * 5) + -9(3x + -2) 2 = (-10 + 25z) + -9(3x + -2) Reorder the terms: 2 = -10 + 25z + -9(-2 + 3x) 2 = -10 + 25z + (-2 * -9 + 3x * -9) 2 = -10 + 25z + (18 + -27x) Reorder the terms: 2 = -10 + 18 + -27x + 25z Combine like terms: -10 + 18 = 8 2 = 8 + -27x + 25z Solving 2 = 8 + -27x + 25z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 2 + 27x = 8 + -27x + 27x + 25z Combine like terms: -27x + 27x = 0 2 + 27x = 8 + 0 + 25z 2 + 27x = 8 + 25z Add '-2' to each side of the equation. 2 + -2 + 27x = 8 + -2 + 25z Combine like terms: 2 + -2 = 0 0 + 27x = 8 + -2 + 25z 27x = 8 + -2 + 25z Combine like terms: 8 + -2 = 6 27x = 6 + 25z Divide each side by '27'. x = 0.2222222222 + 0.9259259259z Simplifying x = 0.2222222222 + 0.9259259259z
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