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