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Simplifying (4x + -7) + (6x + -23) = 50 Reorder the terms: (-7 + 4x) + (6x + -23) = 50 Remove parenthesis around (-7 + 4x) -7 + 4x + (6x + -23) = 50 Reorder the terms: -7 + 4x + (-23 + 6x) = 50 Remove parenthesis around (-23 + 6x) -7 + 4x + -23 + 6x = 50 Reorder the terms: -7 + -23 + 4x + 6x = 50 Combine like terms: -7 + -23 = -30 -30 + 4x + 6x = 50 Combine like terms: 4x + 6x = 10x -30 + 10x = 50 Solving -30 + 10x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 10x = 50 + 30 Combine like terms: -30 + 30 = 0 0 + 10x = 50 + 30 10x = 50 + 30 Combine like terms: 50 + 30 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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