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Simplifying -2x + 40 = 5x + -100 Reorder the terms: 40 + -2x = 5x + -100 Reorder the terms: 40 + -2x = -100 + 5x Solving 40 + -2x = -100 + 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. 40 + -2x + -5x = -100 + 5x + -5x Combine like terms: -2x + -5x = -7x 40 + -7x = -100 + 5x + -5x Combine like terms: 5x + -5x = 0 40 + -7x = -100 + 0 40 + -7x = -100 Add '-40' to each side of the equation. 40 + -40 + -7x = -100 + -40 Combine like terms: 40 + -40 = 0 0 + -7x = -100 + -40 -7x = -100 + -40 Combine like terms: -100 + -40 = -140 -7x = -140 Divide each side by '-7'. x = 20 Simplifying x = 20
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