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Simplifying 4(3x + -9) + -1(6x + -11) = 35 Reorder the terms: 4(-9 + 3x) + -1(6x + -11) = 35 (-9 * 4 + 3x * 4) + -1(6x + -11) = 35 (-36 + 12x) + -1(6x + -11) = 35 Reorder the terms: -36 + 12x + -1(-11 + 6x) = 35 -36 + 12x + (-11 * -1 + 6x * -1) = 35 -36 + 12x + (11 + -6x) = 35 Reorder the terms: -36 + 11 + 12x + -6x = 35 Combine like terms: -36 + 11 = -25 -25 + 12x + -6x = 35 Combine like terms: 12x + -6x = 6x -25 + 6x = 35 Solving -25 + 6x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 6x = 35 + 25 Combine like terms: -25 + 25 = 0 0 + 6x = 35 + 25 6x = 35 + 25 Combine like terms: 35 + 25 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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