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Simplifying 3x + 4 * 7 + -3z = -46 Multiply 4 * 7 3x + 28 + -3z = -46 Reorder the terms: 28 + 3x + -3z = -46 Solving 28 + 3x + -3z = -46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + 3x + -28 + -3z = -46 + -28 Reorder the terms: 28 + -28 + 3x + -3z = -46 + -28 Combine like terms: 28 + -28 = 0 0 + 3x + -3z = -46 + -28 3x + -3z = -46 + -28 Combine like terms: -46 + -28 = -74 3x + -3z = -74 Add '3z' to each side of the equation. 3x + -3z + 3z = -74 + 3z Combine like terms: -3z + 3z = 0 3x + 0 = -74 + 3z 3x = -74 + 3z Divide each side by '3'. x = -24.66666667 + z Simplifying x = -24.66666667 + z
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