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Simplifying (2(x) + -5) + (4(x) + 17) + x = 75 Reorder the terms: (-5 + 2x) + (4(x) + 17) + x = 75 Remove parenthesis around (-5 + 2x) -5 + 2x + (4(x) + 17) + x = 75 Reorder the terms: -5 + 2x + (17 + 4x) + x = 75 Remove parenthesis around (17 + 4x) -5 + 2x + 17 + 4x + x = 75 Reorder the terms: -5 + 17 + 2x + 4x + x = 75 Combine like terms: -5 + 17 = 12 12 + 2x + 4x + x = 75 Combine like terms: 2x + 4x = 6x 12 + 6x + x = 75 Combine like terms: 6x + x = 7x 12 + 7x = 75 Solving 12 + 7x = 75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7x = 75 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 75 + -12 7x = 75 + -12 Combine like terms: 75 + -12 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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