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Simplifying 5(x + 6) + -4z = 42 Reorder the terms: 5(6 + x) + -4z = 42 (6 * 5 + x * 5) + -4z = 42 (30 + 5x) + -4z = 42 Solving 30 + 5x + -4z = 42 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 + 5x + -30 + -4z = 42 + -30 Reorder the terms: 30 + -30 + 5x + -4z = 42 + -30 Combine like terms: 30 + -30 = 0 0 + 5x + -4z = 42 + -30 5x + -4z = 42 + -30 Combine like terms: 42 + -30 = 12 5x + -4z = 12 Add '4z' to each side of the equation. 5x + -4z + 4z = 12 + 4z Combine like terms: -4z + 4z = 0 5x + 0 = 12 + 4z 5x = 12 + 4z Divide each side by '5'. x = 2.4 + 0.8z Simplifying x = 2.4 + 0.8z
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