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Simplifying 3x + 7 = 5 + -1(9x + -9) Reorder the terms: 7 + 3x = 5 + -1(9x + -9) Reorder the terms: 7 + 3x = 5 + -1(-9 + 9x) 7 + 3x = 5 + (-9 * -1 + 9x * -1) 7 + 3x = 5 + (9 + -9x) Combine like terms: 5 + 9 = 14 7 + 3x = 14 + -9x Solving 7 + 3x = 14 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 7 + 3x + 9x = 14 + -9x + 9x Combine like terms: 3x + 9x = 12x 7 + 12x = 14 + -9x + 9x Combine like terms: -9x + 9x = 0 7 + 12x = 14 + 0 7 + 12x = 14 Add '-7' to each side of the equation. 7 + -7 + 12x = 14 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = 14 + -7 12x = 14 + -7 Combine like terms: 14 + -7 = 7 12x = 7 Divide each side by '12'. x = 0.5833333333 Simplifying x = 0.5833333333
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