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Simplifying 7(2z + 1) + 5x = 3(8z + -3) Reorder the terms: 7(1 + 2z) + 5x = 3(8z + -3) (1 * 7 + 2z * 7) + 5x = 3(8z + -3) (7 + 14z) + 5x = 3(8z + -3) Reorder the terms: 7 + 5x + 14z = 3(8z + -3) Reorder the terms: 7 + 5x + 14z = 3(-3 + 8z) 7 + 5x + 14z = (-3 * 3 + 8z * 3) 7 + 5x + 14z = (-9 + 24z) Solving 7 + 5x + 14z = -9 + 24z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 5x + -7 + 14z = -9 + -7 + 24z Reorder the terms: 7 + -7 + 5x + 14z = -9 + -7 + 24z Combine like terms: 7 + -7 = 0 0 + 5x + 14z = -9 + -7 + 24z 5x + 14z = -9 + -7 + 24z Combine like terms: -9 + -7 = -16 5x + 14z = -16 + 24z Add '-14z' to each side of the equation. 5x + 14z + -14z = -16 + 24z + -14z Combine like terms: 14z + -14z = 0 5x + 0 = -16 + 24z + -14z 5x = -16 + 24z + -14z Combine like terms: 24z + -14z = 10z 5x = -16 + 10z Divide each side by '5'. x = -3.2 + 2z Simplifying x = -3.2 + 2z
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