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Simplifying -2x + 40 = -7(x + -5) Reorder the terms: 40 + -2x = -7(x + -5) Reorder the terms: 40 + -2x = -7(-5 + x) 40 + -2x = (-5 * -7 + x * -7) 40 + -2x = (35 + -7x) Solving 40 + -2x = 35 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 40 + -2x + 7x = 35 + -7x + 7x Combine like terms: -2x + 7x = 5x 40 + 5x = 35 + -7x + 7x Combine like terms: -7x + 7x = 0 40 + 5x = 35 + 0 40 + 5x = 35 Add '-40' to each side of the equation. 40 + -40 + 5x = 35 + -40 Combine like terms: 40 + -40 = 0 0 + 5x = 35 + -40 5x = 35 + -40 Combine like terms: 35 + -40 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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