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Simplifying 7x + 2 = 5 + -1(5x + -4) Reorder the terms: 2 + 7x = 5 + -1(5x + -4) Reorder the terms: 2 + 7x = 5 + -1(-4 + 5x) 2 + 7x = 5 + (-4 * -1 + 5x * -1) 2 + 7x = 5 + (4 + -5x) Combine like terms: 5 + 4 = 9 2 + 7x = 9 + -5x Solving 2 + 7x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 7x + 5x = 9 + -5x + 5x Combine like terms: 7x + 5x = 12x 2 + 12x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 12x = 9 + 0 2 + 12x = 9 Add '-2' to each side of the equation. 2 + -2 + 12x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = 9 + -2 12x = 9 + -2 Combine like terms: 9 + -2 = 7 12x = 7 Divide each side by '12'. x = 0.5833333333 Simplifying x = 0.5833333333
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