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Simplifying 5(x + -7) + -1(2x + -1) = 5 Reorder the terms: 5(-7 + x) + -1(2x + -1) = 5 (-7 * 5 + x * 5) + -1(2x + -1) = 5 (-35 + 5x) + -1(2x + -1) = 5 Reorder the terms: -35 + 5x + -1(-1 + 2x) = 5 -35 + 5x + (-1 * -1 + 2x * -1) = 5 -35 + 5x + (1 + -2x) = 5 Reorder the terms: -35 + 1 + 5x + -2x = 5 Combine like terms: -35 + 1 = -34 -34 + 5x + -2x = 5 Combine like terms: 5x + -2x = 3x -34 + 3x = 5 Solving -34 + 3x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 3x = 5 + 34 Combine like terms: -34 + 34 = 0 0 + 3x = 5 + 34 3x = 5 + 34 Combine like terms: 5 + 34 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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