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Simplifying 7(x + 5) = -2(2x + -3) Reorder the terms: 7(5 + x) = -2(2x + -3) (5 * 7 + x * 7) = -2(2x + -3) (35 + 7x) = -2(2x + -3) Reorder the terms: 35 + 7x = -2(-3 + 2x) 35 + 7x = (-3 * -2 + 2x * -2) 35 + 7x = (6 + -4x) Solving 35 + 7x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 35 + 7x + 4x = 6 + -4x + 4x Combine like terms: 7x + 4x = 11x 35 + 11x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 35 + 11x = 6 + 0 35 + 11x = 6 Add '-35' to each side of the equation. 35 + -35 + 11x = 6 + -35 Combine like terms: 35 + -35 = 0 0 + 11x = 6 + -35 11x = 6 + -35 Combine like terms: 6 + -35 = -29 11x = -29 Divide each side by '11'. x = -2.636363636 Simplifying x = -2.636363636
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