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Simplifying 4(x + 2) = 6(2x + -3) Reorder the terms: 4(2 + x) = 6(2x + -3) (2 * 4 + x * 4) = 6(2x + -3) (8 + 4x) = 6(2x + -3) Reorder the terms: 8 + 4x = 6(-3 + 2x) 8 + 4x = (-3 * 6 + 2x * 6) 8 + 4x = (-18 + 12x) Solving 8 + 4x = -18 + 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. 8 + 4x + -12x = -18 + 12x + -12x Combine like terms: 4x + -12x = -8x 8 + -8x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -8x = -18 + 0 8 + -8x = -18 Add '-8' to each side of the equation. 8 + -8 + -8x = -18 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = -18 + -8 -8x = -18 + -8 Combine like terms: -18 + -8 = -26 -8x = -26 Divide each side by '-8'. x = 3.25 Simplifying x = 3.25
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