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Simplifying 2(5x + -9) + -4(z + 3) = 0 Reorder the terms: 2(-9 + 5x) + -4(z + 3) = 0 (-9 * 2 + 5x * 2) + -4(z + 3) = 0 (-18 + 10x) + -4(z + 3) = 0 Reorder the terms: -18 + 10x + -4(3 + z) = 0 -18 + 10x + (3 * -4 + z * -4) = 0 -18 + 10x + (-12 + -4z) = 0 Reorder the terms: -18 + -12 + 10x + -4z = 0 Combine like terms: -18 + -12 = -30 -30 + 10x + -4z = 0 Solving -30 + 10x + -4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 10x + 30 + -4z = 0 + 30 Reorder the terms: -30 + 30 + 10x + -4z = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 10x + -4z = 0 + 30 10x + -4z = 0 + 30 Combine like terms: 0 + 30 = 30 10x + -4z = 30 Add '4z' to each side of the equation. 10x + -4z + 4z = 30 + 4z Combine like terms: -4z + 4z = 0 10x + 0 = 30 + 4z 10x = 30 + 4z Divide each side by '10'. x = 3 + 0.4z Simplifying x = 3 + 0.4z
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