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Simplifying 7x + -114 = 40 + -4x Reorder the terms: -114 + 7x = 40 + -4x Solving -114 + 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. -114 + 7x + 4x = 40 + -4x + 4x Combine like terms: 7x + 4x = 11x -114 + 11x = 40 + -4x + 4x Combine like terms: -4x + 4x = 0 -114 + 11x = 40 + 0 -114 + 11x = 40 Add '114' to each side of the equation. -114 + 114 + 11x = 40 + 114 Combine like terms: -114 + 114 = 0 0 + 11x = 40 + 114 11x = 40 + 114 Combine like terms: 40 + 114 = 154 11x = 154 Divide each side by '11'. x = 14 Simplifying x = 14
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