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Simplifying 4(2 + 3x) = 6 + -2(3 + -5x) (2 * 4 + 3x * 4) = 6 + -2(3 + -5x) (8 + 12x) = 6 + -2(3 + -5x) 8 + 12x = 6 + (3 * -2 + -5x * -2) 8 + 12x = 6 + (-6 + 10x) Combine like terms: 6 + -6 = 0 8 + 12x = 0 + 10x 8 + 12x = 10x Solving 8 + 12x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8 + 12x + -10x = 10x + -10x Combine like terms: 12x + -10x = 2x 8 + 2x = 10x + -10x Combine like terms: 10x + -10x = 0 8 + 2x = 0 Add '-8' to each side of the equation. 8 + -8 + 2x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 0 + -8 2x = 0 + -8 Combine like terms: 0 + -8 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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