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Simplifying 4x + -13 = 22 + -3x Reorder the terms: -13 + 4x = 22 + -3x Solving -13 + 4x = 22 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -13 + 4x + 3x = 22 + -3x + 3x Combine like terms: 4x + 3x = 7x -13 + 7x = 22 + -3x + 3x Combine like terms: -3x + 3x = 0 -13 + 7x = 22 + 0 -13 + 7x = 22 Add '13' to each side of the equation. -13 + 13 + 7x = 22 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 22 + 13 7x = 22 + 13 Combine like terms: 22 + 13 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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