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Simplifying 4(3x + 2) = 10(x + 4) Reorder the terms: 4(2 + 3x) = 10(x + 4) (2 * 4 + 3x * 4) = 10(x + 4) (8 + 12x) = 10(x + 4) Reorder the terms: 8 + 12x = 10(4 + x) 8 + 12x = (4 * 10 + x * 10) 8 + 12x = (40 + 10x) Solving 8 + 12x = 40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8 + 12x + -10x = 40 + 10x + -10x Combine like terms: 12x + -10x = 2x 8 + 2x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + 2x = 40 + 0 8 + 2x = 40 Add '-8' to each side of the equation. 8 + -8 + 2x = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 40 + -8 2x = 40 + -8 Combine like terms: 40 + -8 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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