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Simplifying 4(2x + 1) = 3(2x + -5) + 39 Reorder the terms: 4(1 + 2x) = 3(2x + -5) + 39 (1 * 4 + 2x * 4) = 3(2x + -5) + 39 (4 + 8x) = 3(2x + -5) + 39 Reorder the terms: 4 + 8x = 3(-5 + 2x) + 39 4 + 8x = (-5 * 3 + 2x * 3) + 39 4 + 8x = (-15 + 6x) + 39 Reorder the terms: 4 + 8x = -15 + 39 + 6x Combine like terms: -15 + 39 = 24 4 + 8x = 24 + 6x Solving 4 + 8x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 8x + -6x = 24 + 6x + -6x Combine like terms: 8x + -6x = 2x 4 + 2x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 2x = 24 + 0 4 + 2x = 24 Add '-4' to each side of the equation. 4 + -4 + 2x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 24 + -4 2x = 24 + -4 Combine like terms: 24 + -4 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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