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Simplifying 5x + 2 = 4 + -1(7x + -8) Reorder the terms: 2 + 5x = 4 + -1(7x + -8) Reorder the terms: 2 + 5x = 4 + -1(-8 + 7x) 2 + 5x = 4 + (-8 * -1 + 7x * -1) 2 + 5x = 4 + (8 + -7x) Combine like terms: 4 + 8 = 12 2 + 5x = 12 + -7x Solving 2 + 5x = 12 + -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. 2 + 5x + 7x = 12 + -7x + 7x Combine like terms: 5x + 7x = 12x 2 + 12x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 2 + 12x = 12 + 0 2 + 12x = 12 Add '-2' to each side of the equation. 2 + -2 + 12x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = 12 + -2 12x = 12 + -2 Combine like terms: 12 + -2 = 10 12x = 10 Divide each side by '12'. x = 0.8333333333 Simplifying x = 0.8333333333
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