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Simplifying 2x + -4x + 47 = 5x + 40 Reorder the terms: 47 + 2x + -4x = 5x + 40 Combine like terms: 2x + -4x = -2x 47 + -2x = 5x + 40 Reorder the terms: 47 + -2x = 40 + 5x Solving 47 + -2x = 40 + 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. 47 + -2x + -5x = 40 + 5x + -5x Combine like terms: -2x + -5x = -7x 47 + -7x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 47 + -7x = 40 + 0 47 + -7x = 40 Add '-47' to each side of the equation. 47 + -47 + -7x = 40 + -47 Combine like terms: 47 + -47 = 0 0 + -7x = 40 + -47 -7x = 40 + -47 Combine like terms: 40 + -47 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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