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Simplifying 3(2x + 8) = 2(4x + -3) Reorder the terms: 3(8 + 2x) = 2(4x + -3) (8 * 3 + 2x * 3) = 2(4x + -3) (24 + 6x) = 2(4x + -3) Reorder the terms: 24 + 6x = 2(-3 + 4x) 24 + 6x = (-3 * 2 + 4x * 2) 24 + 6x = (-6 + 8x) Solving 24 + 6x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 24 + 6x + -8x = -6 + 8x + -8x Combine like terms: 6x + -8x = -2x 24 + -2x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -2x = -6 + 0 24 + -2x = -6 Add '-24' to each side of the equation. 24 + -24 + -2x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = -6 + -24 -2x = -6 + -24 Combine like terms: -6 + -24 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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