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Simplifying 5x + 1 + -9x = -5 + 7x Reorder the terms: 1 + 5x + -9x = -5 + 7x Combine like terms: 5x + -9x = -4x 1 + -4x = -5 + 7x Solving 1 + -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. 1 + -4x + -7x = -5 + 7x + -7x Combine like terms: -4x + -7x = -11x 1 + -11x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -11x = -5 + 0 1 + -11x = -5 Add '-1' to each side of the equation. 1 + -1 + -11x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -11x = -5 + -1 -11x = -5 + -1 Combine like terms: -5 + -1 = -6 -11x = -6 Divide each side by '-11'. x = 0.5454545455 Simplifying x = 0.5454545455
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