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