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Simplifying x + 3(2x + -4) + -1(x + 5) = 25 Reorder the terms: x + 3(-4 + 2x) + -1(x + 5) = 25 x + (-4 * 3 + 2x * 3) + -1(x + 5) = 25 x + (-12 + 6x) + -1(x + 5) = 25 Reorder the terms: x + -12 + 6x + -1(5 + x) = 25 x + -12 + 6x + (5 * -1 + x * -1) = 25 x + -12 + 6x + (-5 + -1x) = 25 Reorder the terms: -12 + -5 + x + 6x + -1x = 25 Combine like terms: -12 + -5 = -17 -17 + x + 6x + -1x = 25 Combine like terms: x + 6x = 7x -17 + 7x + -1x = 25 Combine like terms: 7x + -1x = 6x -17 + 6x = 25 Solving -17 + 6x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 6x = 25 + 17 Combine like terms: -17 + 17 = 0 0 + 6x = 25 + 17 6x = 25 + 17 Combine like terms: 25 + 17 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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