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Simplifying 2(3x + 12) = 4(4x + 8) Reorder the terms: 2(12 + 3x) = 4(4x + 8) (12 * 2 + 3x * 2) = 4(4x + 8) (24 + 6x) = 4(4x + 8) Reorder the terms: 24 + 6x = 4(8 + 4x) 24 + 6x = (8 * 4 + 4x * 4) 24 + 6x = (32 + 16x) Solving 24 + 6x = 32 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 24 + 6x + -16x = 32 + 16x + -16x Combine like terms: 6x + -16x = -10x 24 + -10x = 32 + 16x + -16x Combine like terms: 16x + -16x = 0 24 + -10x = 32 + 0 24 + -10x = 32 Add '-24' to each side of the equation. 24 + -24 + -10x = 32 + -24 Combine like terms: 24 + -24 = 0 0 + -10x = 32 + -24 -10x = 32 + -24 Combine like terms: 32 + -24 = 8 -10x = 8 Divide each side by '-10'. x = -0.8 Simplifying x = -0.8
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