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Simplifying 4 + 7(x + -6) = 6 + -4(z + -9) Reorder the terms: 4 + 7(-6 + x) = 6 + -4(z + -9) 4 + (-6 * 7 + x * 7) = 6 + -4(z + -9) 4 + (-42 + 7x) = 6 + -4(z + -9) Combine like terms: 4 + -42 = -38 -38 + 7x = 6 + -4(z + -9) Reorder the terms: -38 + 7x = 6 + -4(-9 + z) -38 + 7x = 6 + (-9 * -4 + z * -4) -38 + 7x = 6 + (36 + -4z) Combine like terms: 6 + 36 = 42 -38 + 7x = 42 + -4z Solving -38 + 7x = 42 + -4z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 7x = 42 + 38 + -4z Combine like terms: -38 + 38 = 0 0 + 7x = 42 + 38 + -4z 7x = 42 + 38 + -4z Combine like terms: 42 + 38 = 80 7x = 80 + -4z Divide each side by '7'. x = 11.42857143 + -0.5714285714z Simplifying x = 11.42857143 + -0.5714285714z
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