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Simplifying 40 + -7x = -5(4x + 5) Reorder the terms: 40 + -7x = -5(5 + 4x) 40 + -7x = (5 * -5 + 4x * -5) 40 + -7x = (-25 + -20x) Solving 40 + -7x = -25 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 40 + -7x + 20x = -25 + -20x + 20x Combine like terms: -7x + 20x = 13x 40 + 13x = -25 + -20x + 20x Combine like terms: -20x + 20x = 0 40 + 13x = -25 + 0 40 + 13x = -25 Add '-40' to each side of the equation. 40 + -40 + 13x = -25 + -40 Combine like terms: 40 + -40 = 0 0 + 13x = -25 + -40 13x = -25 + -40 Combine like terms: -25 + -40 = -65 13x = -65 Divide each side by '13'. x = -5 Simplifying x = -5
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