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Simplifying 7(x + 5) = (x + -4) Reorder the terms: 7(5 + x) = (x + -4) (5 * 7 + x * 7) = (x + -4) (35 + 7x) = (x + -4) Reorder the terms: 35 + 7x = (-4 + x) Remove parenthesis around (-4 + x) 35 + 7x = -4 + x Solving 35 + 7x = -4 + x 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 = -4 + x + -1x Combine like terms: 7x + -1x = 6x 35 + 6x = -4 + x + -1x Combine like terms: x + -1x = 0 35 + 6x = -4 + 0 35 + 6x = -4 Add '-35' to each side of the equation. 35 + -35 + 6x = -4 + -35 Combine like terms: 35 + -35 = 0 0 + 6x = -4 + -35 6x = -4 + -35 Combine like terms: -4 + -35 = -39 6x = -39 Divide each side by '6'. x = -6.5 Simplifying x = -6.5
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