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Simplifying 2(x + -2) + 6 = 5(z + 4) Reorder the terms: 2(-2 + x) + 6 = 5(z + 4) (-2 * 2 + x * 2) + 6 = 5(z + 4) (-4 + 2x) + 6 = 5(z + 4) Reorder the terms: -4 + 6 + 2x = 5(z + 4) Combine like terms: -4 + 6 = 2 2 + 2x = 5(z + 4) Reorder the terms: 2 + 2x = 5(4 + z) 2 + 2x = (4 * 5 + z * 5) 2 + 2x = (20 + 5z) Solving 2 + 2x = 20 + 5z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2x = 20 + -2 + 5z Combine like terms: 2 + -2 = 0 0 + 2x = 20 + -2 + 5z 2x = 20 + -2 + 5z Combine like terms: 20 + -2 = 18 2x = 18 + 5z Divide each side by '2'. x = 9 + 2.5z Simplifying x = 9 + 2.5z
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