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Simplifying 2(4x + 1) + 5(3x + 2) = 58 Reorder the terms: 2(1 + 4x) + 5(3x + 2) = 58 (1 * 2 + 4x * 2) + 5(3x + 2) = 58 (2 + 8x) + 5(3x + 2) = 58 Reorder the terms: 2 + 8x + 5(2 + 3x) = 58 2 + 8x + (2 * 5 + 3x * 5) = 58 2 + 8x + (10 + 15x) = 58 Reorder the terms: 2 + 10 + 8x + 15x = 58 Combine like terms: 2 + 10 = 12 12 + 8x + 15x = 58 Combine like terms: 8x + 15x = 23x 12 + 23x = 58 Solving 12 + 23x = 58 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 23x = 58 + -12 Combine like terms: 12 + -12 = 0 0 + 23x = 58 + -12 23x = 58 + -12 Combine like terms: 58 + -12 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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