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Simplifying 4(3 + -2x) + 3x = 6(4 + 2x) (3 * 4 + -2x * 4) + 3x = 6(4 + 2x) (12 + -8x) + 3x = 6(4 + 2x) Combine like terms: -8x + 3x = -5x 12 + -5x = 6(4 + 2x) 12 + -5x = (4 * 6 + 2x * 6) 12 + -5x = (24 + 12x) Solving 12 + -5x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 12 + -5x + -12x = 24 + 12x + -12x Combine like terms: -5x + -12x = -17x 12 + -17x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -17x = 24 + 0 12 + -17x = 24 Add '-12' to each side of the equation. 12 + -12 + -17x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -17x = 24 + -12 -17x = 24 + -12 Combine like terms: 24 + -12 = 12 -17x = 12 Divide each side by '-17'. x = -0.7058823529 Simplifying x = -0.7058823529
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