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Simplifying x + 39 = 4(5x + 4) + 4 Reorder the terms: 39 + x = 4(5x + 4) + 4 Reorder the terms: 39 + x = 4(4 + 5x) + 4 39 + x = (4 * 4 + 5x * 4) + 4 39 + x = (16 + 20x) + 4 Reorder the terms: 39 + x = 16 + 4 + 20x Combine like terms: 16 + 4 = 20 39 + x = 20 + 20x Solving 39 + x = 20 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 39 + x + -20x = 20 + 20x + -20x Combine like terms: x + -20x = -19x 39 + -19x = 20 + 20x + -20x Combine like terms: 20x + -20x = 0 39 + -19x = 20 + 0 39 + -19x = 20 Add '-39' to each side of the equation. 39 + -39 + -19x = 20 + -39 Combine like terms: 39 + -39 = 0 0 + -19x = 20 + -39 -19x = 20 + -39 Combine like terms: 20 + -39 = -19 -19x = -19 Divide each side by '-19'. x = 1 Simplifying x = 1
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