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Simplifying 2 + 2(5x + 3) = x + 4(x + 12) Reorder the terms: 2 + 2(3 + 5x) = x + 4(x + 12) 2 + (3 * 2 + 5x * 2) = x + 4(x + 12) 2 + (6 + 10x) = x + 4(x + 12) Combine like terms: 2 + 6 = 8 8 + 10x = x + 4(x + 12) Reorder the terms: 8 + 10x = x + 4(12 + x) 8 + 10x = x + (12 * 4 + x * 4) 8 + 10x = x + (48 + 4x) Reorder the terms: 8 + 10x = 48 + x + 4x Combine like terms: x + 4x = 5x 8 + 10x = 48 + 5x Solving 8 + 10x = 48 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 10x + -5x = 48 + 5x + -5x Combine like terms: 10x + -5x = 5x 8 + 5x = 48 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 5x = 48 + 0 8 + 5x = 48 Add '-8' to each side of the equation. 8 + -8 + 5x = 48 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 48 + -8 5x = 48 + -8 Combine like terms: 48 + -8 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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