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Simplifying (4x + -10) + (2x + 7) = 75 Reorder the terms: (-10 + 4x) + (2x + 7) = 75 Remove parenthesis around (-10 + 4x) -10 + 4x + (2x + 7) = 75 Reorder the terms: -10 + 4x + (7 + 2x) = 75 Remove parenthesis around (7 + 2x) -10 + 4x + 7 + 2x = 75 Reorder the terms: -10 + 7 + 4x + 2x = 75 Combine like terms: -10 + 7 = -3 -3 + 4x + 2x = 75 Combine like terms: 4x + 2x = 6x -3 + 6x = 75 Solving -3 + 6x = 75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 6x = 75 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 75 + 3 6x = 75 + 3 Combine like terms: 75 + 3 = 78 6x = 78 Divide each side by '6'. x = 13 Simplifying x = 13
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