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Simplifying 2(3x + 2) = -3(x + -2) Reorder the terms: 2(2 + 3x) = -3(x + -2) (2 * 2 + 3x * 2) = -3(x + -2) (4 + 6x) = -3(x + -2) Reorder the terms: 4 + 6x = -3(-2 + x) 4 + 6x = (-2 * -3 + x * -3) 4 + 6x = (6 + -3x) Solving 4 + 6x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + 6x + 3x = 6 + -3x + 3x Combine like terms: 6x + 3x = 9x 4 + 9x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 9x = 6 + 0 4 + 9x = 6 Add '-4' to each side of the equation. 4 + -4 + 9x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 6 + -4 9x = 6 + -4 Combine like terms: 6 + -4 = 2 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222
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