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Simplifying -7(x + 5) = 6 + -1(-1x + 25) Reorder the terms: -7(5 + x) = 6 + -1(-1x + 25) (5 * -7 + x * -7) = 6 + -1(-1x + 25) (-35 + -7x) = 6 + -1(-1x + 25) Reorder the terms: -35 + -7x = 6 + -1(25 + -1x) -35 + -7x = 6 + (25 * -1 + -1x * -1) -35 + -7x = 6 + (-25 + 1x) Combine like terms: 6 + -25 = -19 -35 + -7x = -19 + 1x Solving -35 + -7x = -19 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -35 + -7x + -1x = -19 + 1x + -1x Combine like terms: -7x + -1x = -8x -35 + -8x = -19 + 1x + -1x Combine like terms: 1x + -1x = 0 -35 + -8x = -19 + 0 -35 + -8x = -19 Add '35' to each side of the equation. -35 + 35 + -8x = -19 + 35 Combine like terms: -35 + 35 = 0 0 + -8x = -19 + 35 -8x = -19 + 35 Combine like terms: -19 + 35 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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