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Simplifying 4(2x + 1) = 3(x + 13) Reorder the terms: 4(1 + 2x) = 3(x + 13) (1 * 4 + 2x * 4) = 3(x + 13) (4 + 8x) = 3(x + 13) Reorder the terms: 4 + 8x = 3(13 + x) 4 + 8x = (13 * 3 + x * 3) 4 + 8x = (39 + 3x) Solving 4 + 8x = 39 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 8x + -3x = 39 + 3x + -3x Combine like terms: 8x + -3x = 5x 4 + 5x = 39 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 5x = 39 + 0 4 + 5x = 39 Add '-4' to each side of the equation. 4 + -4 + 5x = 39 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 39 + -4 5x = 39 + -4 Combine like terms: 39 + -4 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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