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Simplifying 5x + 3 = 7 + -1(7x + -5) Reorder the terms: 3 + 5x = 7 + -1(7x + -5) Reorder the terms: 3 + 5x = 7 + -1(-5 + 7x) 3 + 5x = 7 + (-5 * -1 + 7x * -1) 3 + 5x = 7 + (5 + -7x) Combine like terms: 7 + 5 = 12 3 + 5x = 12 + -7x Solving 3 + 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. 3 + 5x + 7x = 12 + -7x + 7x Combine like terms: 5x + 7x = 12x 3 + 12x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 3 + 12x = 12 + 0 3 + 12x = 12 Add '-3' to each side of the equation. 3 + -3 + 12x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 12x = 12 + -3 12x = 12 + -3 Combine like terms: 12 + -3 = 9 12x = 9 Divide each side by '12'. x = 0.75 Simplifying x = 0.75
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