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Simplifying 5[4 + -2(z + 7)] = x Reorder the terms: 5[4 + -2(7 + z)] = x 5[4 + (7 * -2 + z * -2)] = x 5[4 + (-14 + -2z)] = x Combine like terms: 4 + -14 = -10 5[-10 + -2z] = x [-10 * 5 + -2z * 5] = x [-50 + -10z] = x Solving -50 + -10z = x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -10z = 50 + x Combine like terms: -50 + 50 = 0 0 + -10z = 50 + x -10z = 50 + x Divide each side by '-10'. z = -5 + -0.1x Simplifying z = -5 + -0.1x
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