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Simplifying 3(5 + -6x) = -14 + -2(1 + 2z) + 2 (5 * 3 + -6x * 3) = -14 + -2(1 + 2z) + 2 (15 + -18x) = -14 + -2(1 + 2z) + 2 15 + -18x = -14 + (1 * -2 + 2z * -2) + 2 15 + -18x = -14 + (-2 + -4z) + 2 Reorder the terms: 15 + -18x = -14 + -2 + 2 + -4z Combine like terms: -14 + -2 = -16 15 + -18x = -16 + 2 + -4z Combine like terms: -16 + 2 = -14 15 + -18x = -14 + -4z Solving 15 + -18x = -14 + -4z 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 + -15 + -18x = -14 + -15 + -4z Combine like terms: 15 + -15 = 0 0 + -18x = -14 + -15 + -4z -18x = -14 + -15 + -4z Combine like terms: -14 + -15 = -29 -18x = -29 + -4z Divide each side by '-18'. x = 1.611111111 + 0.2222222222z Simplifying x = 1.611111111 + 0.2222222222z
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