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Simplifying 2x + -3(2x + -3) = 2(3 + 4x) Reorder the terms: 2x + -3(-3 + 2x) = 2(3 + 4x) 2x + (-3 * -3 + 2x * -3) = 2(3 + 4x) 2x + (9 + -6x) = 2(3 + 4x) Reorder the terms: 9 + 2x + -6x = 2(3 + 4x) Combine like terms: 2x + -6x = -4x 9 + -4x = 2(3 + 4x) 9 + -4x = (3 * 2 + 4x * 2) 9 + -4x = (6 + 8x) Solving 9 + -4x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 9 + -4x + -8x = 6 + 8x + -8x Combine like terms: -4x + -8x = -12x 9 + -12x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + -12x = 6 + 0 9 + -12x = 6 Add '-9' to each side of the equation. 9 + -9 + -12x = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -12x = 6 + -9 -12x = 6 + -9 Combine like terms: 6 + -9 = -3 -12x = -3 Divide each side by '-12'. x = 0.25 Simplifying x = 0.25
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