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Simplifying 3(4 + -3x) = 2(3x + 2) (4 * 3 + -3x * 3) = 2(3x + 2) (12 + -9x) = 2(3x + 2) Reorder the terms: 12 + -9x = 2(2 + 3x) 12 + -9x = (2 * 2 + 3x * 2) 12 + -9x = (4 + 6x) Solving 12 + -9x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + -9x + -6x = 4 + 6x + -6x Combine like terms: -9x + -6x = -15x 12 + -15x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -15x = 4 + 0 12 + -15x = 4 Add '-12' to each side of the equation. 12 + -12 + -15x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -15x = 4 + -12 -15x = 4 + -12 Combine like terms: 4 + -12 = -8 -15x = -8 Divide each side by '-15'. x = 0.5333333333 Simplifying x = 0.5333333333
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