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Simplifying 4x + -3 + -7(z + 1) = 6z Reorder the terms: 4x + -3 + -7(1 + z) = 6z 4x + -3 + (1 * -7 + z * -7) = 6z 4x + -3 + (-7 + -7z) = 6z Reorder the terms: -3 + -7 + 4x + -7z = 6z Combine like terms: -3 + -7 = -10 -10 + 4x + -7z = 6z Solving -10 + 4x + -7z = 6z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 4x + 10 + -7z = 10 + 6z Reorder the terms: -10 + 10 + 4x + -7z = 10 + 6z Combine like terms: -10 + 10 = 0 0 + 4x + -7z = 10 + 6z 4x + -7z = 10 + 6z Add '7z' to each side of the equation. 4x + -7z + 7z = 10 + 6z + 7z Combine like terms: -7z + 7z = 0 4x + 0 = 10 + 6z + 7z 4x = 10 + 6z + 7z Combine like terms: 6z + 7z = 13z 4x = 10 + 13z Divide each side by '4'. x = 2.5 + 3.25z Simplifying x = 2.5 + 3.25z
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