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Simplifying 4(3x + 8) + 8 = 10x + 24 + 36 Reorder the terms: 4(8 + 3x) + 8 = 10x + 24 + 36 (8 * 4 + 3x * 4) + 8 = 10x + 24 + 36 (32 + 12x) + 8 = 10x + 24 + 36 Reorder the terms: 32 + 8 + 12x = 10x + 24 + 36 Combine like terms: 32 + 8 = 40 40 + 12x = 10x + 24 + 36 Reorder the terms: 40 + 12x = 24 + 36 + 10x Combine like terms: 24 + 36 = 60 40 + 12x = 60 + 10x Solving 40 + 12x = 60 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 40 + 12x + -10x = 60 + 10x + -10x Combine like terms: 12x + -10x = 2x 40 + 2x = 60 + 10x + -10x Combine like terms: 10x + -10x = 0 40 + 2x = 60 + 0 40 + 2x = 60 Add '-40' to each side of the equation. 40 + -40 + 2x = 60 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = 60 + -40 2x = 60 + -40 Combine like terms: 60 + -40 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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