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Simplifying 2 + 4(4x + -5) = 7 + -3(2z + 1) Reorder the terms: 2 + 4(-5 + 4x) = 7 + -3(2z + 1) 2 + (-5 * 4 + 4x * 4) = 7 + -3(2z + 1) 2 + (-20 + 16x) = 7 + -3(2z + 1) Combine like terms: 2 + -20 = -18 -18 + 16x = 7 + -3(2z + 1) Reorder the terms: -18 + 16x = 7 + -3(1 + 2z) -18 + 16x = 7 + (1 * -3 + 2z * -3) -18 + 16x = 7 + (-3 + -6z) Combine like terms: 7 + -3 = 4 -18 + 16x = 4 + -6z Solving -18 + 16x = 4 + -6z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 16x = 4 + 18 + -6z Combine like terms: -18 + 18 = 0 0 + 16x = 4 + 18 + -6z 16x = 4 + 18 + -6z Combine like terms: 4 + 18 = 22 16x = 22 + -6z Divide each side by '16'. x = 1.375 + -0.375z Simplifying x = 1.375 + -0.375z
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