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Simplifying 2x + -4(4x + 5) + 5z = -34 Reorder the terms: 2x + -4(5 + 4x) + 5z = -34 2x + (5 * -4 + 4x * -4) + 5z = -34 2x + (-20 + -16x) + 5z = -34 Reorder the terms: -20 + 2x + -16x + 5z = -34 Combine like terms: 2x + -16x = -14x -20 + -14x + 5z = -34 Solving -20 + -14x + 5z = -34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + -14x + 20 + 5z = -34 + 20 Reorder the terms: -20 + 20 + -14x + 5z = -34 + 20 Combine like terms: -20 + 20 = 0 0 + -14x + 5z = -34 + 20 -14x + 5z = -34 + 20 Combine like terms: -34 + 20 = -14 -14x + 5z = -14 Add '-5z' to each side of the equation. -14x + 5z + -5z = -14 + -5z Combine like terms: 5z + -5z = 0 -14x + 0 = -14 + -5z -14x = -14 + -5z Divide each side by '-14'. x = 1 + 0.3571428571z Simplifying x = 1 + 0.3571428571z
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