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Simplifying 8 + 5(x + 6) = 2(5x + 5) + 13 Reorder the terms: 8 + 5(6 + x) = 2(5x + 5) + 13 8 + (6 * 5 + x * 5) = 2(5x + 5) + 13 8 + (30 + 5x) = 2(5x + 5) + 13 Combine like terms: 8 + 30 = 38 38 + 5x = 2(5x + 5) + 13 Reorder the terms: 38 + 5x = 2(5 + 5x) + 13 38 + 5x = (5 * 2 + 5x * 2) + 13 38 + 5x = (10 + 10x) + 13 Reorder the terms: 38 + 5x = 10 + 13 + 10x Combine like terms: 10 + 13 = 23 38 + 5x = 23 + 10x Solving 38 + 5x = 23 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 38 + 5x + -10x = 23 + 10x + -10x Combine like terms: 5x + -10x = -5x 38 + -5x = 23 + 10x + -10x Combine like terms: 10x + -10x = 0 38 + -5x = 23 + 0 38 + -5x = 23 Add '-38' to each side of the equation. 38 + -38 + -5x = 23 + -38 Combine like terms: 38 + -38 = 0 0 + -5x = 23 + -38 -5x = 23 + -38 Combine like terms: 23 + -38 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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