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Simplifying 2(x + 10) + 3(2x + 1) = 5x + 8 Reorder the terms: 2(10 + x) + 3(2x + 1) = 5x + 8 (10 * 2 + x * 2) + 3(2x + 1) = 5x + 8 (20 + 2x) + 3(2x + 1) = 5x + 8 Reorder the terms: 20 + 2x + 3(1 + 2x) = 5x + 8 20 + 2x + (1 * 3 + 2x * 3) = 5x + 8 20 + 2x + (3 + 6x) = 5x + 8 Reorder the terms: 20 + 3 + 2x + 6x = 5x + 8 Combine like terms: 20 + 3 = 23 23 + 2x + 6x = 5x + 8 Combine like terms: 2x + 6x = 8x 23 + 8x = 5x + 8 Reorder the terms: 23 + 8x = 8 + 5x Solving 23 + 8x = 8 + 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. 23 + 8x + -5x = 8 + 5x + -5x Combine like terms: 8x + -5x = 3x 23 + 3x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 23 + 3x = 8 + 0 23 + 3x = 8 Add '-23' to each side of the equation. 23 + -23 + 3x = 8 + -23 Combine like terms: 23 + -23 = 0 0 + 3x = 8 + -23 3x = 8 + -23 Combine like terms: 8 + -23 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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