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Simplifying 2(3x + 7) = -3(3x + 1) Reorder the terms: 2(7 + 3x) = -3(3x + 1) (7 * 2 + 3x * 2) = -3(3x + 1) (14 + 6x) = -3(3x + 1) Reorder the terms: 14 + 6x = -3(1 + 3x) 14 + 6x = (1 * -3 + 3x * -3) 14 + 6x = (-3 + -9x) Solving 14 + 6x = -3 + -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. 14 + 6x + 9x = -3 + -9x + 9x Combine like terms: 6x + 9x = 15x 14 + 15x = -3 + -9x + 9x Combine like terms: -9x + 9x = 0 14 + 15x = -3 + 0 14 + 15x = -3 Add '-14' to each side of the equation. 14 + -14 + 15x = -3 + -14 Combine like terms: 14 + -14 = 0 0 + 15x = -3 + -14 15x = -3 + -14 Combine like terms: -3 + -14 = -17 15x = -17 Divide each side by '15'. x = -1.133333333 Simplifying x = -1.133333333
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