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Simplifying -10(-3x + -5z + 7) = 0 Reorder the terms: -10(7 + -3x + -5z) = 0 (7 * -10 + -3x * -10 + -5z * -10) = 0 (-70 + 30x + 50z) = 0 Solving -70 + 30x + 50z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 30x + 70 + 50z = 0 + 70 Reorder the terms: -70 + 70 + 30x + 50z = 0 + 70 Combine like terms: -70 + 70 = 0 0 + 30x + 50z = 0 + 70 30x + 50z = 0 + 70 Combine like terms: 0 + 70 = 70 30x + 50z = 70 Add '-50z' to each side of the equation. 30x + 50z + -50z = 70 + -50z Combine like terms: 50z + -50z = 0 30x + 0 = 70 + -50z 30x = 70 + -50z Divide each side by '30'. x = 2.333333333 + -1.666666667z Simplifying x = 2.333333333 + -1.666666667z
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