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Simplifying 40 + x = (12 + x) * 5 Reorder the terms for easier multiplication: 40 + x = 5(12 + x) 40 + x = (12 * 5 + x * 5) 40 + x = (60 + 5x) Solving 40 + x = 60 + 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 + x + -5x = 60 + 5x + -5x Combine like terms: x + -5x = -4x 40 + -4x = 60 + 5x + -5x Combine like terms: 5x + -5x = 0 40 + -4x = 60 + 0 40 + -4x = 60 Add '-40' to each side of the equation. 40 + -40 + -4x = 60 + -40 Combine like terms: 40 + -40 = 0 0 + -4x = 60 + -40 -4x = 60 + -40 Combine like terms: 60 + -40 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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