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Simplifying 5x + 7 = 5 + -1(7x + -8) Reorder the terms: 7 + 5x = 5 + -1(7x + -8) Reorder the terms: 7 + 5x = 5 + -1(-8 + 7x) 7 + 5x = 5 + (-8 * -1 + 7x * -1) 7 + 5x = 5 + (8 + -7x) Combine like terms: 5 + 8 = 13 7 + 5x = 13 + -7x Solving 7 + 5x = 13 + -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. 7 + 5x + 7x = 13 + -7x + 7x Combine like terms: 5x + 7x = 12x 7 + 12x = 13 + -7x + 7x Combine like terms: -7x + 7x = 0 7 + 12x = 13 + 0 7 + 12x = 13 Add '-7' to each side of the equation. 7 + -7 + 12x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = 13 + -7 12x = 13 + -7 Combine like terms: 13 + -7 = 6 12x = 6 Divide each side by '12'. x = 0.5 Simplifying x = 0.5
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