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Simplifying 6(2x + 3) = 4(x + -2) Reorder the terms: 6(3 + 2x) = 4(x + -2) (3 * 6 + 2x * 6) = 4(x + -2) (18 + 12x) = 4(x + -2) Reorder the terms: 18 + 12x = 4(-2 + x) 18 + 12x = (-2 * 4 + x * 4) 18 + 12x = (-8 + 4x) Solving 18 + 12x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 12x + -4x = -8 + 4x + -4x Combine like terms: 12x + -4x = 8x 18 + 8x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + 8x = -8 + 0 18 + 8x = -8 Add '-18' to each side of the equation. 18 + -18 + 8x = -8 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = -8 + -18 8x = -8 + -18 Combine like terms: -8 + -18 = -26 8x = -26 Divide each side by '8'. x = -3.25 Simplifying x = -3.25
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