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Simplifying 3x + 5 = 9 + -1(7x + -5) Reorder the terms: 5 + 3x = 9 + -1(7x + -5) Reorder the terms: 5 + 3x = 9 + -1(-5 + 7x) 5 + 3x = 9 + (-5 * -1 + 7x * -1) 5 + 3x = 9 + (5 + -7x) Combine like terms: 9 + 5 = 14 5 + 3x = 14 + -7x Solving 5 + 3x = 14 + -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. 5 + 3x + 7x = 14 + -7x + 7x Combine like terms: 3x + 7x = 10x 5 + 10x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 10x = 14 + 0 5 + 10x = 14 Add '-5' to each side of the equation. 5 + -5 + 10x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 10x = 14 + -5 10x = 14 + -5 Combine like terms: 14 + -5 = 9 10x = 9 Divide each side by '10'. x = 0.9 Simplifying x = 0.9
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