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Simplifying 7 + 7(x + -8) = 5x + (x + -2) Reorder the terms: 7 + 7(-8 + x) = 5x + (x + -2) 7 + (-8 * 7 + x * 7) = 5x + (x + -2) 7 + (-56 + 7x) = 5x + (x + -2) Combine like terms: 7 + -56 = -49 -49 + 7x = 5x + (x + -2) Reorder the terms: -49 + 7x = 5x + (-2 + x) Remove parenthesis around (-2 + x) -49 + 7x = 5x + -2 + x Reorder the terms: -49 + 7x = -2 + 5x + x Combine like terms: 5x + x = 6x -49 + 7x = -2 + 6x Solving -49 + 7x = -2 + 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. -49 + 7x + -6x = -2 + 6x + -6x Combine like terms: 7x + -6x = 1x -49 + 1x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -49 + 1x = -2 + 0 -49 + 1x = -2 Add '49' to each side of the equation. -49 + 49 + 1x = -2 + 49 Combine like terms: -49 + 49 = 0 0 + 1x = -2 + 49 1x = -2 + 49 Combine like terms: -2 + 49 = 47 1x = 47 Divide each side by '1'. x = 47 Simplifying x = 47
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