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Simplifying 7x + 35 = -5(3x + 8) Reorder the terms: 35 + 7x = -5(3x + 8) Reorder the terms: 35 + 7x = -5(8 + 3x) 35 + 7x = (8 * -5 + 3x * -5) 35 + 7x = (-40 + -15x) Solving 35 + 7x = -40 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 35 + 7x + 15x = -40 + -15x + 15x Combine like terms: 7x + 15x = 22x 35 + 22x = -40 + -15x + 15x Combine like terms: -15x + 15x = 0 35 + 22x = -40 + 0 35 + 22x = -40 Add '-35' to each side of the equation. 35 + -35 + 22x = -40 + -35 Combine like terms: 35 + -35 = 0 0 + 22x = -40 + -35 22x = -40 + -35 Combine like terms: -40 + -35 = -75 22x = -75 Divide each side by '22'. x = -3.409090909 Simplifying x = -3.409090909
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