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Simplifying 3(3x + 1) = 2(x + -5) Reorder the terms: 3(1 + 3x) = 2(x + -5) (1 * 3 + 3x * 3) = 2(x + -5) (3 + 9x) = 2(x + -5) Reorder the terms: 3 + 9x = 2(-5 + x) 3 + 9x = (-5 * 2 + x * 2) 3 + 9x = (-10 + 2x) Solving 3 + 9x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 9x + -2x = -10 + 2x + -2x Combine like terms: 9x + -2x = 7x 3 + 7x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 7x = -10 + 0 3 + 7x = -10 Add '-3' to each side of the equation. 3 + -3 + 7x = -10 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = -10 + -3 7x = -10 + -3 Combine like terms: -10 + -3 = -13 7x = -13 Divide each side by '7'. x = -1.857142857 Simplifying x = -1.857142857
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