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Simplifying 3z + 2(4x + -2) = 5(3 + -2) Reorder the terms: 3z + 2(-2 + 4x) = 5(3 + -2) 3z + (-2 * 2 + 4x * 2) = 5(3 + -2) 3z + (-4 + 8x) = 5(3 + -2) Reorder the terms: -4 + 8x + 3z = 5(3 + -2) Combine like terms: 3 + -2 = 1 -4 + 8x + 3z = 5(1) Multiply 5 * 1 -4 + 8x + 3z = 5 Solving -4 + 8x + 3z = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 8x + 4 + 3z = 5 + 4 Reorder the terms: -4 + 4 + 8x + 3z = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 8x + 3z = 5 + 4 8x + 3z = 5 + 4 Combine like terms: 5 + 4 = 9 8x + 3z = 9 Add '-3z' to each side of the equation. 8x + 3z + -3z = 9 + -3z Combine like terms: 3z + -3z = 0 8x + 0 = 9 + -3z 8x = 9 + -3z Divide each side by '8'. x = 1.125 + -0.375z Simplifying x = 1.125 + -0.375z
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