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Simplifying 3x + 4(5z + -16) = 97 Reorder the terms: 3x + 4(-16 + 5z) = 97 3x + (-16 * 4 + 5z * 4) = 97 3x + (-64 + 20z) = 97 Reorder the terms: -64 + 3x + 20z = 97 Solving -64 + 3x + 20z = 97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 3x + 64 + 20z = 97 + 64 Reorder the terms: -64 + 64 + 3x + 20z = 97 + 64 Combine like terms: -64 + 64 = 0 0 + 3x + 20z = 97 + 64 3x + 20z = 97 + 64 Combine like terms: 97 + 64 = 161 3x + 20z = 161 Add '-20z' to each side of the equation. 3x + 20z + -20z = 161 + -20z Combine like terms: 20z + -20z = 0 3x + 0 = 161 + -20z 3x = 161 + -20z Divide each side by '3'. x = 53.66666667 + -6.666666667z Simplifying x = 53.66666667 + -6.666666667z
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