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Simplifying 3(3x + 2) + -4 = 2(x + -3) Reorder the terms: 3(2 + 3x) + -4 = 2(x + -3) (2 * 3 + 3x * 3) + -4 = 2(x + -3) (6 + 9x) + -4 = 2(x + -3) Reorder the terms: 6 + -4 + 9x = 2(x + -3) Combine like terms: 6 + -4 = 2 2 + 9x = 2(x + -3) Reorder the terms: 2 + 9x = 2(-3 + x) 2 + 9x = (-3 * 2 + x * 2) 2 + 9x = (-6 + 2x) Solving 2 + 9x = -6 + 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. 2 + 9x + -2x = -6 + 2x + -2x Combine like terms: 9x + -2x = 7x 2 + 7x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 7x = -6 + 0 2 + 7x = -6 Add '-2' to each side of the equation. 2 + -2 + 7x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = -6 + -2 7x = -6 + -2 Combine like terms: -6 + -2 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143
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