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Simplifying 2(x + 5) + 3(2x + 1) = 5x + 8 Reorder the terms: 2(5 + x) + 3(2x + 1) = 5x + 8 (5 * 2 + x * 2) + 3(2x + 1) = 5x + 8 (10 + 2x) + 3(2x + 1) = 5x + 8 Reorder the terms: 10 + 2x + 3(1 + 2x) = 5x + 8 10 + 2x + (1 * 3 + 2x * 3) = 5x + 8 10 + 2x + (3 + 6x) = 5x + 8 Reorder the terms: 10 + 3 + 2x + 6x = 5x + 8 Combine like terms: 10 + 3 = 13 13 + 2x + 6x = 5x + 8 Combine like terms: 2x + 6x = 8x 13 + 8x = 5x + 8 Reorder the terms: 13 + 8x = 8 + 5x Solving 13 + 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. 13 + 8x + -5x = 8 + 5x + -5x Combine like terms: 8x + -5x = 3x 13 + 3x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + 3x = 8 + 0 13 + 3x = 8 Add '-13' to each side of the equation. 13 + -13 + 3x = 8 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 8 + -13 3x = 8 + -13 Combine like terms: 8 + -13 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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