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Simplifying 3x + 5 = 8 + -1(4x + -9) Reorder the terms: 5 + 3x = 8 + -1(4x + -9) Reorder the terms: 5 + 3x = 8 + -1(-9 + 4x) 5 + 3x = 8 + (-9 * -1 + 4x * -1) 5 + 3x = 8 + (9 + -4x) Combine like terms: 8 + 9 = 17 5 + 3x = 17 + -4x Solving 5 + 3x = 17 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 5 + 3x + 4x = 17 + -4x + 4x Combine like terms: 3x + 4x = 7x 5 + 7x = 17 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 7x = 17 + 0 5 + 7x = 17 Add '-5' to each side of the equation. 5 + -5 + 7x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 17 + -5 7x = 17 + -5 Combine like terms: 17 + -5 = 12 7x = 12 Divide each side by '7'. x = 1.714285714 Simplifying x = 1.714285714
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