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Simplifying 40 + -4x + 12 = 7x + -5 Reorder the terms: 40 + 12 + -4x = 7x + -5 Combine like terms: 40 + 12 = 52 52 + -4x = 7x + -5 Reorder the terms: 52 + -4x = -5 + 7x Solving 52 + -4x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 52 + -4x + -7x = -5 + 7x + -7x Combine like terms: -4x + -7x = -11x 52 + -11x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 52 + -11x = -5 + 0 52 + -11x = -5 Add '-52' to each side of the equation. 52 + -52 + -11x = -5 + -52 Combine like terms: 52 + -52 = 0 0 + -11x = -5 + -52 -11x = -5 + -52 Combine like terms: -5 + -52 = -57 -11x = -57 Divide each side by '-11'. x = 5.181818182 Simplifying x = 5.181818182
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