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Simplifying -1(x + 7) = (6x + 8) Reorder the terms: -1(7 + x) = (6x + 8) (7 * -1 + x * -1) = (6x + 8) (-7 + -1x) = (6x + 8) Reorder the terms: -7 + -1x = (8 + 6x) Remove parenthesis around (8 + 6x) -7 + -1x = 8 + 6x Solving -7 + -1x = 8 + 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. -7 + -1x + -6x = 8 + 6x + -6x Combine like terms: -1x + -6x = -7x -7 + -7x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -7x = 8 + 0 -7 + -7x = 8 Add '7' to each side of the equation. -7 + 7 + -7x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = 8 + 7 -7x = 8 + 7 Combine like terms: 8 + 7 = 15 -7x = 15 Divide each side by '-7'. x = -2.142857143 Simplifying x = -2.142857143
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