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