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Simplifying 2(3x + 1) = -3(3x + -3) Reorder the terms: 2(1 + 3x) = -3(3x + -3) (1 * 2 + 3x * 2) = -3(3x + -3) (2 + 6x) = -3(3x + -3) Reorder the terms: 2 + 6x = -3(-3 + 3x) 2 + 6x = (-3 * -3 + 3x * -3) 2 + 6x = (9 + -9x) Solving 2 + 6x = 9 + -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. 2 + 6x + 9x = 9 + -9x + 9x Combine like terms: 6x + 9x = 15x 2 + 15x = 9 + -9x + 9x Combine like terms: -9x + 9x = 0 2 + 15x = 9 + 0 2 + 15x = 9 Add '-2' to each side of the equation. 2 + -2 + 15x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 15x = 9 + -2 15x = 9 + -2 Combine like terms: 9 + -2 = 7 15x = 7 Divide each side by '15'. x = 0.4666666667 Simplifying x = 0.4666666667
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