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Simplifying 2(2x + -2) + -2(3 + -4z) = 4 Reorder the terms: 2(-2 + 2x) + -2(3 + -4z) = 4 (-2 * 2 + 2x * 2) + -2(3 + -4z) = 4 (-4 + 4x) + -2(3 + -4z) = 4 -4 + 4x + (3 * -2 + -4z * -2) = 4 -4 + 4x + (-6 + 8z) = 4 Reorder the terms: -4 + -6 + 4x + 8z = 4 Combine like terms: -4 + -6 = -10 -10 + 4x + 8z = 4 Solving -10 + 4x + 8z = 4 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 + 8z = 4 + 10 Reorder the terms: -10 + 10 + 4x + 8z = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 4x + 8z = 4 + 10 4x + 8z = 4 + 10 Combine like terms: 4 + 10 = 14 4x + 8z = 14 Add '-8z' to each side of the equation. 4x + 8z + -8z = 14 + -8z Combine like terms: 8z + -8z = 0 4x + 0 = 14 + -8z 4x = 14 + -8z Divide each side by '4'. x = 3.5 + -2z Simplifying x = 3.5 + -2z
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