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Simplifying 9 + -7(x + -2) = 5(x + 3) Reorder the terms: 9 + -7(-2 + x) = 5(x + 3) 9 + (-2 * -7 + x * -7) = 5(x + 3) 9 + (14 + -7x) = 5(x + 3) Combine like terms: 9 + 14 = 23 23 + -7x = 5(x + 3) Reorder the terms: 23 + -7x = 5(3 + x) 23 + -7x = (3 * 5 + x * 5) 23 + -7x = (15 + 5x) Solving 23 + -7x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 23 + -7x + -5x = 15 + 5x + -5x Combine like terms: -7x + -5x = -12x 23 + -12x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 23 + -12x = 15 + 0 23 + -12x = 15 Add '-23' to each side of the equation. 23 + -23 + -12x = 15 + -23 Combine like terms: 23 + -23 = 0 0 + -12x = 15 + -23 -12x = 15 + -23 Combine like terms: 15 + -23 = -8 -12x = -8 Divide each side by '-12'. x = 0.6666666667 Simplifying x = 0.6666666667
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