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Simplifying 13x + -1(22 + -5x) = 4(3x + 5) 13x + (22 * -1 + -5x * -1) = 4(3x + 5) 13x + (-22 + 5x) = 4(3x + 5) Reorder the terms: -22 + 13x + 5x = 4(3x + 5) Combine like terms: 13x + 5x = 18x -22 + 18x = 4(3x + 5) Reorder the terms: -22 + 18x = 4(5 + 3x) -22 + 18x = (5 * 4 + 3x * 4) -22 + 18x = (20 + 12x) Solving -22 + 18x = 20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -22 + 18x + -12x = 20 + 12x + -12x Combine like terms: 18x + -12x = 6x -22 + 6x = 20 + 12x + -12x Combine like terms: 12x + -12x = 0 -22 + 6x = 20 + 0 -22 + 6x = 20 Add '22' to each side of the equation. -22 + 22 + 6x = 20 + 22 Combine like terms: -22 + 22 = 0 0 + 6x = 20 + 22 6x = 20 + 22 Combine like terms: 20 + 22 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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