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Simplifying 4(5x + 4) + -22 = 13x + 1 Reorder the terms: 4(4 + 5x) + -22 = 13x + 1 (4 * 4 + 5x * 4) + -22 = 13x + 1 (16 + 20x) + -22 = 13x + 1 Reorder the terms: 16 + -22 + 20x = 13x + 1 Combine like terms: 16 + -22 = -6 -6 + 20x = 13x + 1 Reorder the terms: -6 + 20x = 1 + 13x Solving -6 + 20x = 1 + 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. -6 + 20x + -13x = 1 + 13x + -13x Combine like terms: 20x + -13x = 7x -6 + 7x = 1 + 13x + -13x Combine like terms: 13x + -13x = 0 -6 + 7x = 1 + 0 -6 + 7x = 1 Add '6' to each side of the equation. -6 + 6 + 7x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 1 + 6 7x = 1 + 6 Combine like terms: 1 + 6 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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