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Simplifying -7(z + 3) = -2(x + 3) + -5x Reorder the terms: -7(3 + z) = -2(x + 3) + -5x (3 * -7 + z * -7) = -2(x + 3) + -5x (-21 + -7z) = -2(x + 3) + -5x Reorder the terms: -21 + -7z = -2(3 + x) + -5x -21 + -7z = (3 * -2 + x * -2) + -5x -21 + -7z = (-6 + -2x) + -5x Combine like terms: -2x + -5x = -7x -21 + -7z = -6 + -7x Solving -21 + -7z = -6 + -7x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -7z = -6 + 21 + -7x Combine like terms: -21 + 21 = 0 0 + -7z = -6 + 21 + -7x -7z = -6 + 21 + -7x Combine like terms: -6 + 21 = 15 -7z = 15 + -7x Divide each side by '-7'. z = -2.142857143 + x Simplifying z = -2.142857143 + x
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