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Simplifying 3x + 9 = 4 + -1(4x + -7) Reorder the terms: 9 + 3x = 4 + -1(4x + -7) Reorder the terms: 9 + 3x = 4 + -1(-7 + 4x) 9 + 3x = 4 + (-7 * -1 + 4x * -1) 9 + 3x = 4 + (7 + -4x) Combine like terms: 4 + 7 = 11 9 + 3x = 11 + -4x Solving 9 + 3x = 11 + -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. 9 + 3x + 4x = 11 + -4x + 4x Combine like terms: 3x + 4x = 7x 9 + 7x = 11 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 7x = 11 + 0 9 + 7x = 11 Add '-9' to each side of the equation. 9 + -9 + 7x = 11 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 11 + -9 7x = 11 + -9 Combine like terms: 11 + -9 = 2 7x = 2 Divide each side by '7'. x = 0.2857142857 Simplifying x = 0.2857142857
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