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Simplifying -7(x + 5) + x = 3(1 + -1x) Reorder the terms: -7(5 + x) + x = 3(1 + -1x) (5 * -7 + x * -7) + x = 3(1 + -1x) (-35 + -7x) + x = 3(1 + -1x) Combine like terms: -7x + x = -6x -35 + -6x = 3(1 + -1x) -35 + -6x = (1 * 3 + -1x * 3) -35 + -6x = (3 + -3x) Solving -35 + -6x = 3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -35 + -6x + 3x = 3 + -3x + 3x Combine like terms: -6x + 3x = -3x -35 + -3x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 -35 + -3x = 3 + 0 -35 + -3x = 3 Add '35' to each side of the equation. -35 + 35 + -3x = 3 + 35 Combine like terms: -35 + 35 = 0 0 + -3x = 3 + 35 -3x = 3 + 35 Combine like terms: 3 + 35 = 38 -3x = 38 Divide each side by '-3'. x = -12.66666667 Simplifying x = -12.66666667
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