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Simplifying 4(3x + 2) + 8(x + 1) = 52 Reorder the terms: 4(2 + 3x) + 8(x + 1) = 52 (2 * 4 + 3x * 4) + 8(x + 1) = 52 (8 + 12x) + 8(x + 1) = 52 Reorder the terms: 8 + 12x + 8(1 + x) = 52 8 + 12x + (1 * 8 + x * 8) = 52 8 + 12x + (8 + 8x) = 52 Reorder the terms: 8 + 8 + 12x + 8x = 52 Combine like terms: 8 + 8 = 16 16 + 12x + 8x = 52 Combine like terms: 12x + 8x = 20x 16 + 20x = 52 Solving 16 + 20x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 20x = 52 + -16 Combine like terms: 16 + -16 = 0 0 + 20x = 52 + -16 20x = 52 + -16 Combine like terms: 52 + -16 = 36 20x = 36 Divide each side by '20'. x = 1.8 Simplifying x = 1.8
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