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Simplifying -6.9 + -4z + -6.9 + -42x = -5z + -12.2 Reorder the terms: -6.9 + -6.9 + -42x + -4z = -5z + -12.2 Combine like terms: -6.9 + -6.9 = -13.8 -13.8 + -42x + -4z = -5z + -12.2 Reorder the terms: -13.8 + -42x + -4z = -12.2 + -5z Solving -13.8 + -42x + -4z = -12.2 + -5z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13.8' to each side of the equation. -13.8 + -42x + 13.8 + -4z = -12.2 + 13.8 + -5z Reorder the terms: -13.8 + 13.8 + -42x + -4z = -12.2 + 13.8 + -5z Combine like terms: -13.8 + 13.8 = 0.0 0.0 + -42x + -4z = -12.2 + 13.8 + -5z -42x + -4z = -12.2 + 13.8 + -5z Combine like terms: -12.2 + 13.8 = 1.6 -42x + -4z = 1.6 + -5z Add '4z' to each side of the equation. -42x + -4z + 4z = 1.6 + -5z + 4z Combine like terms: -4z + 4z = 0 -42x + 0 = 1.6 + -5z + 4z -42x = 1.6 + -5z + 4z Combine like terms: -5z + 4z = -1z -42x = 1.6 + -1z Divide each side by '-42'. x = -0.0380952381 + 0.02380952381z Simplifying x = -0.0380952381 + 0.02380952381z
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