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Simplifying 7x + 84 = -4x + 40 Reorder the terms: 84 + 7x = -4x + 40 Reorder the terms: 84 + 7x = 40 + -4x Solving 84 + 7x = 40 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 84 + 7x + 4x = 40 + -4x + 4x Combine like terms: 7x + 4x = 11x 84 + 11x = 40 + -4x + 4x Combine like terms: -4x + 4x = 0 84 + 11x = 40 + 0 84 + 11x = 40 Add '-84' to each side of the equation. 84 + -84 + 11x = 40 + -84 Combine like terms: 84 + -84 = 0 0 + 11x = 40 + -84 11x = 40 + -84 Combine like terms: 40 + -84 = -44 11x = -44 Divide each side by '11'. x = -4 Simplifying x = -4
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