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Simplifying 5(x + 2) = 4(z + -7) + z Reorder the terms: 5(2 + x) = 4(z + -7) + z (2 * 5 + x * 5) = 4(z + -7) + z (10 + 5x) = 4(z + -7) + z Reorder the terms: 10 + 5x = 4(-7 + z) + z 10 + 5x = (-7 * 4 + z * 4) + z 10 + 5x = (-28 + 4z) + z Combine like terms: 4z + z = 5z 10 + 5x = -28 + 5z Solving 10 + 5x = -28 + 5z 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 + -10 + 5x = -28 + -10 + 5z Combine like terms: 10 + -10 = 0 0 + 5x = -28 + -10 + 5z 5x = -28 + -10 + 5z Combine like terms: -28 + -10 = -38 5x = -38 + 5z Divide each side by '5'. x = -7.6 + z Simplifying x = -7.6 + z
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