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Simplifying 7x + 4 = 5 + -1(4x + -4) Reorder the terms: 4 + 7x = 5 + -1(4x + -4) Reorder the terms: 4 + 7x = 5 + -1(-4 + 4x) 4 + 7x = 5 + (-4 * -1 + 4x * -1) 4 + 7x = 5 + (4 + -4x) Combine like terms: 5 + 4 = 9 4 + 7x = 9 + -4x Solving 4 + 7x = 9 + -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. 4 + 7x + 4x = 9 + -4x + 4x Combine like terms: 7x + 4x = 11x 4 + 11x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 11x = 9 + 0 4 + 11x = 9 Add '-4' to each side of the equation. 4 + -4 + 11x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = 9 + -4 11x = 9 + -4 Combine like terms: 9 + -4 = 5 11x = 5 Divide each side by '11'. x = 0.4545454545 Simplifying x = 0.4545454545
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