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Simplifying 3(4 + -3x) = 2(4x + 1) (4 * 3 + -3x * 3) = 2(4x + 1) (12 + -9x) = 2(4x + 1) Reorder the terms: 12 + -9x = 2(1 + 4x) 12 + -9x = (1 * 2 + 4x * 2) 12 + -9x = (2 + 8x) Solving 12 + -9x = 2 + 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. 12 + -9x + -8x = 2 + 8x + -8x Combine like terms: -9x + -8x = -17x 12 + -17x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -17x = 2 + 0 12 + -17x = 2 Add '-12' to each side of the equation. 12 + -12 + -17x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -17x = 2 + -12 -17x = 2 + -12 Combine like terms: 2 + -12 = -10 -17x = -10 Divide each side by '-17'. x = 0.5882352941 Simplifying x = 0.5882352941
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