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Simplifying 5(x + 4) + 16 = 2x + 3(z + 12) Reorder the terms: 5(4 + x) + 16 = 2x + 3(z + 12) (4 * 5 + x * 5) + 16 = 2x + 3(z + 12) (20 + 5x) + 16 = 2x + 3(z + 12) Reorder the terms: 20 + 16 + 5x = 2x + 3(z + 12) Combine like terms: 20 + 16 = 36 36 + 5x = 2x + 3(z + 12) Reorder the terms: 36 + 5x = 2x + 3(12 + z) 36 + 5x = 2x + (12 * 3 + z * 3) 36 + 5x = 2x + (36 + 3z) Reorder the terms: 36 + 5x = 36 + 2x + 3z Add '-36' to each side of the equation. 36 + -36 + 5x = 36 + 2x + -36 + 3z Combine like terms: 36 + -36 = 0 0 + 5x = 36 + 2x + -36 + 3z 5x = 36 + 2x + -36 + 3z Reorder the terms: 5x = 36 + -36 + 2x + 3z Combine like terms: 36 + -36 = 0 5x = 0 + 2x + 3z 5x = 2x + 3z Solving 5x = 2x + 3z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5x + -2x = 2x + -2x + 3z Combine like terms: 5x + -2x = 3x 3x = 2x + -2x + 3z Combine like terms: 2x + -2x = 0 3x = 0 + 3z 3x = 3z Divide each side by '3'. x = z Simplifying x = z
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