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Simplifying 4x + 5 = 5 + -1(7x + -3) Reorder the terms: 5 + 4x = 5 + -1(7x + -3) Reorder the terms: 5 + 4x = 5 + -1(-3 + 7x) 5 + 4x = 5 + (-3 * -1 + 7x * -1) 5 + 4x = 5 + (3 + -7x) Combine like terms: 5 + 3 = 8 5 + 4x = 8 + -7x Solving 5 + 4x = 8 + -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. 5 + 4x + 7x = 8 + -7x + 7x Combine like terms: 4x + 7x = 11x 5 + 11x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 11x = 8 + 0 5 + 11x = 8 Add '-5' to each side of the equation. 5 + -5 + 11x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = 8 + -5 11x = 8 + -5 Combine like terms: 8 + -5 = 3 11x = 3 Divide each side by '11'. x = 0.2727272727 Simplifying x = 0.2727272727
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