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Simplifying 5(x + -7) + -1(2x + -11) = 0 Reorder the terms: 5(-7 + x) + -1(2x + -11) = 0 (-7 * 5 + x * 5) + -1(2x + -11) = 0 (-35 + 5x) + -1(2x + -11) = 0 Reorder the terms: -35 + 5x + -1(-11 + 2x) = 0 -35 + 5x + (-11 * -1 + 2x * -1) = 0 -35 + 5x + (11 + -2x) = 0 Reorder the terms: -35 + 11 + 5x + -2x = 0 Combine like terms: -35 + 11 = -24 -24 + 5x + -2x = 0 Combine like terms: 5x + -2x = 3x -24 + 3x = 0 Solving -24 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 3x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = 0 + 24 3x = 0 + 24 Combine like terms: 0 + 24 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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