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Simplifying 3(x + 2) = 8(3 + -4x) Reorder the terms: 3(2 + x) = 8(3 + -4x) (2 * 3 + x * 3) = 8(3 + -4x) (6 + 3x) = 8(3 + -4x) 6 + 3x = (3 * 8 + -4x * 8) 6 + 3x = (24 + -32x) Solving 6 + 3x = 24 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 6 + 3x + 32x = 24 + -32x + 32x Combine like terms: 3x + 32x = 35x 6 + 35x = 24 + -32x + 32x Combine like terms: -32x + 32x = 0 6 + 35x = 24 + 0 6 + 35x = 24 Add '-6' to each side of the equation. 6 + -6 + 35x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 35x = 24 + -6 35x = 24 + -6 Combine like terms: 24 + -6 = 18 35x = 18 Divide each side by '35'. x = 0.5142857143 Simplifying x = 0.5142857143
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