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Simplifying (4x + 3) + (2x + -7) = 22 Reorder the terms: (3 + 4x) + (2x + -7) = 22 Remove parenthesis around (3 + 4x) 3 + 4x + (2x + -7) = 22 Reorder the terms: 3 + 4x + (-7 + 2x) = 22 Remove parenthesis around (-7 + 2x) 3 + 4x + -7 + 2x = 22 Reorder the terms: 3 + -7 + 4x + 2x = 22 Combine like terms: 3 + -7 = -4 -4 + 4x + 2x = 22 Combine like terms: 4x + 2x = 6x -4 + 6x = 22 Solving -4 + 6x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 6x = 22 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 22 + 4 6x = 22 + 4 Combine like terms: 22 + 4 = 26 6x = 26 Divide each side by '6'. x = 4.333333333 Simplifying x = 4.333333333
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