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Simplifying 3x + -4(3x + -2) = 2x + -3 Reorder the terms: 3x + -4(-2 + 3x) = 2x + -3 3x + (-2 * -4 + 3x * -4) = 2x + -3 3x + (8 + -12x) = 2x + -3 Reorder the terms: 8 + 3x + -12x = 2x + -3 Combine like terms: 3x + -12x = -9x 8 + -9x = 2x + -3 Reorder the terms: 8 + -9x = -3 + 2x Solving 8 + -9x = -3 + 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. 8 + -9x + -2x = -3 + 2x + -2x Combine like terms: -9x + -2x = -11x 8 + -11x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -11x = -3 + 0 8 + -11x = -3 Add '-8' to each side of the equation. 8 + -8 + -11x = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = -3 + -8 -11x = -3 + -8 Combine like terms: -3 + -8 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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