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Simplifying 2(-3x + 2) = -1(6x + 2) + 3x Reorder the terms: 2(2 + -3x) = -1(6x + 2) + 3x (2 * 2 + -3x * 2) = -1(6x + 2) + 3x (4 + -6x) = -1(6x + 2) + 3x Reorder the terms: 4 + -6x = -1(2 + 6x) + 3x 4 + -6x = (2 * -1 + 6x * -1) + 3x 4 + -6x = (-2 + -6x) + 3x Combine like terms: -6x + 3x = -3x 4 + -6x = -2 + -3x Solving 4 + -6x = -2 + -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 = -2 + -3x + 3x Combine like terms: -6x + 3x = -3x 4 + -3x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + -3x = -2 + 0 4 + -3x = -2 Add '-4' to each side of the equation. 4 + -4 + -3x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -2 + -4 -3x = -2 + -4 Combine like terms: -2 + -4 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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