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Simplifying 4(5x + 4) + 36 = 13x + -4 Reorder the terms: 4(4 + 5x) + 36 = 13x + -4 (4 * 4 + 5x * 4) + 36 = 13x + -4 (16 + 20x) + 36 = 13x + -4 Reorder the terms: 16 + 36 + 20x = 13x + -4 Combine like terms: 16 + 36 = 52 52 + 20x = 13x + -4 Reorder the terms: 52 + 20x = -4 + 13x Solving 52 + 20x = -4 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 52 + 20x + -13x = -4 + 13x + -13x Combine like terms: 20x + -13x = 7x 52 + 7x = -4 + 13x + -13x Combine like terms: 13x + -13x = 0 52 + 7x = -4 + 0 52 + 7x = -4 Add '-52' to each side of the equation. 52 + -52 + 7x = -4 + -52 Combine like terms: 52 + -52 = 0 0 + 7x = -4 + -52 7x = -4 + -52 Combine like terms: -4 + -52 = -56 7x = -56 Divide each side by '7'. x = -8 Simplifying x = -8
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