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Simplifying 5(x + 7) + 4 = -5(x + -1) Reorder the terms: 5(7 + x) + 4 = -5(x + -1) (7 * 5 + x * 5) + 4 = -5(x + -1) (35 + 5x) + 4 = -5(x + -1) Reorder the terms: 35 + 4 + 5x = -5(x + -1) Combine like terms: 35 + 4 = 39 39 + 5x = -5(x + -1) Reorder the terms: 39 + 5x = -5(-1 + x) 39 + 5x = (-1 * -5 + x * -5) 39 + 5x = (5 + -5x) Solving 39 + 5x = 5 + -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. 39 + 5x + 5x = 5 + -5x + 5x Combine like terms: 5x + 5x = 10x 39 + 10x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 39 + 10x = 5 + 0 39 + 10x = 5 Add '-39' to each side of the equation. 39 + -39 + 10x = 5 + -39 Combine like terms: 39 + -39 = 0 0 + 10x = 5 + -39 10x = 5 + -39 Combine like terms: 5 + -39 = -34 10x = -34 Divide each side by '10'. x = -3.4 Simplifying x = -3.4
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