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Simplifying 3 + -1(-2 + 3x) = 5(x + 9) 3 + (-2 * -1 + 3x * -1) = 5(x + 9) 3 + (2 + -3x) = 5(x + 9) Combine like terms: 3 + 2 = 5 5 + -3x = 5(x + 9) Reorder the terms: 5 + -3x = 5(9 + x) 5 + -3x = (9 * 5 + x * 5) 5 + -3x = (45 + 5x) Solving 5 + -3x = 45 + 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. 5 + -3x + -5x = 45 + 5x + -5x Combine like terms: -3x + -5x = -8x 5 + -8x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -8x = 45 + 0 5 + -8x = 45 Add '-5' to each side of the equation. 5 + -5 + -8x = 45 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 45 + -5 -8x = 45 + -5 Combine like terms: 45 + -5 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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