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Simplifying 4(4x + 3) = 2(6x + 10) Reorder the terms: 4(3 + 4x) = 2(6x + 10) (3 * 4 + 4x * 4) = 2(6x + 10) (12 + 16x) = 2(6x + 10) Reorder the terms: 12 + 16x = 2(10 + 6x) 12 + 16x = (10 * 2 + 6x * 2) 12 + 16x = (20 + 12x) Solving 12 + 16x = 20 + 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. 12 + 16x + -12x = 20 + 12x + -12x Combine like terms: 16x + -12x = 4x 12 + 4x = 20 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + 4x = 20 + 0 12 + 4x = 20 Add '-12' to each side of the equation. 12 + -12 + 4x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 20 + -12 4x = 20 + -12 Combine like terms: 20 + -12 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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