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Simplifying 3(3x + 2) = 2(x + -3) + -3 Reorder the terms: 3(2 + 3x) = 2(x + -3) + -3 (2 * 3 + 3x * 3) = 2(x + -3) + -3 (6 + 9x) = 2(x + -3) + -3 Reorder the terms: 6 + 9x = 2(-3 + x) + -3 6 + 9x = (-3 * 2 + x * 2) + -3 6 + 9x = (-6 + 2x) + -3 Reorder the terms: 6 + 9x = -6 + -3 + 2x Combine like terms: -6 + -3 = -9 6 + 9x = -9 + 2x Solving 6 + 9x = -9 + 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. 6 + 9x + -2x = -9 + 2x + -2x Combine like terms: 9x + -2x = 7x 6 + 7x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 7x = -9 + 0 6 + 7x = -9 Add '-6' to each side of the equation. 6 + -6 + 7x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = -9 + -6 7x = -9 + -6 Combine like terms: -9 + -6 = -15 7x = -15 Divide each side by '7'. x = -2.142857143 Simplifying x = -2.142857143
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