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Simplifying 3x + 2(x + 1) = 4(x + 5) Reorder the terms: 3x + 2(1 + x) = 4(x + 5) 3x + (1 * 2 + x * 2) = 4(x + 5) 3x + (2 + 2x) = 4(x + 5) Reorder the terms: 2 + 3x + 2x = 4(x + 5) Combine like terms: 3x + 2x = 5x 2 + 5x = 4(x + 5) Reorder the terms: 2 + 5x = 4(5 + x) 2 + 5x = (5 * 4 + x * 4) 2 + 5x = (20 + 4x) Solving 2 + 5x = 20 + 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. 2 + 5x + -4x = 20 + 4x + -4x Combine like terms: 5x + -4x = 1x 2 + 1x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 1x = 20 + 0 2 + 1x = 20 Add '-2' to each side of the equation. 2 + -2 + 1x = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 20 + -2 1x = 20 + -2 Combine like terms: 20 + -2 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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