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Simplifying 5(x + -7) + -1(-2x + -1) = 6x Reorder the terms: 5(-7 + x) + -1(-2x + -1) = 6x (-7 * 5 + x * 5) + -1(-2x + -1) = 6x (-35 + 5x) + -1(-2x + -1) = 6x Reorder the terms: -35 + 5x + -1(-1 + -2x) = 6x -35 + 5x + (-1 * -1 + -2x * -1) = 6x -35 + 5x + (1 + 2x) = 6x Reorder the terms: -35 + 1 + 5x + 2x = 6x Combine like terms: -35 + 1 = -34 -34 + 5x + 2x = 6x Combine like terms: 5x + 2x = 7x -34 + 7x = 6x Solving -34 + 7x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -34 + 7x + -6x = 6x + -6x Combine like terms: 7x + -6x = 1x -34 + 1x = 6x + -6x Combine like terms: 6x + -6x = 0 -34 + 1x = 0 Add '34' to each side of the equation. -34 + 34 + 1x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 1x = 0 + 34 1x = 0 + 34 Combine like terms: 0 + 34 = 34 1x = 34 Divide each side by '1'. x = 34 Simplifying x = 34
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