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