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Simplifying 3 + 8(x + 2) = 5x + 40 Reorder the terms: 3 + 8(2 + x) = 5x + 40 3 + (2 * 8 + x * 8) = 5x + 40 3 + (16 + 8x) = 5x + 40 Combine like terms: 3 + 16 = 19 19 + 8x = 5x + 40 Reorder the terms: 19 + 8x = 40 + 5x Solving 19 + 8x = 40 + 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. 19 + 8x + -5x = 40 + 5x + -5x Combine like terms: 8x + -5x = 3x 19 + 3x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 19 + 3x = 40 + 0 19 + 3x = 40 Add '-19' to each side of the equation. 19 + -19 + 3x = 40 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 40 + -19 3x = 40 + -19 Combine like terms: 40 + -19 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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