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Simplifying -5(x + 7) + x = 6(2 + -1x) Reorder the terms: -5(7 + x) + x = 6(2 + -1x) (7 * -5 + x * -5) + x = 6(2 + -1x) (-35 + -5x) + x = 6(2 + -1x) Combine like terms: -5x + x = -4x -35 + -4x = 6(2 + -1x) -35 + -4x = (2 * 6 + -1x * 6) -35 + -4x = (12 + -6x) Solving -35 + -4x = 12 + -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. -35 + -4x + 6x = 12 + -6x + 6x Combine like terms: -4x + 6x = 2x -35 + 2x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 -35 + 2x = 12 + 0 -35 + 2x = 12 Add '35' to each side of the equation. -35 + 35 + 2x = 12 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = 12 + 35 2x = 12 + 35 Combine like terms: 12 + 35 = 47 2x = 47 Divide each side by '2'. x = 23.5 Simplifying x = 23.5
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