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Simplifying 5 + 3(x + -1z) = 5 + -4(x + -4) 5 + (x * 3 + -1z * 3) = 5 + -4(x + -4) 5 + (3x + -3z) = 5 + -4(x + -4) Reorder the terms: 5 + 3x + -3z = 5 + -4(-4 + x) 5 + 3x + -3z = 5 + (-4 * -4 + x * -4) 5 + 3x + -3z = 5 + (16 + -4x) Combine like terms: 5 + 16 = 21 5 + 3x + -3z = 21 + -4x Solving 5 + 3x + -3z = 21 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 5 + 3x + 4x + -3z = 21 + -4x + 4x Combine like terms: 3x + 4x = 7x 5 + 7x + -3z = 21 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 7x + -3z = 21 + 0 5 + 7x + -3z = 21 Add '-5' to each side of the equation. 5 + 7x + -5 + -3z = 21 + -5 Reorder the terms: 5 + -5 + 7x + -3z = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 7x + -3z = 21 + -5 7x + -3z = 21 + -5 Combine like terms: 21 + -5 = 16 7x + -3z = 16 Add '3z' to each side of the equation. 7x + -3z + 3z = 16 + 3z Combine like terms: -3z + 3z = 0 7x + 0 = 16 + 3z 7x = 16 + 3z Divide each side by '7'. x = 2.285714286 + 0.4285714286z Simplifying x = 2.285714286 + 0.4285714286z
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