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Simplifying 2(8x + 10) = 12x + 40 Reorder the terms: 2(10 + 8x) = 12x + 40 (10 * 2 + 8x * 2) = 12x + 40 (20 + 16x) = 12x + 40 Reorder the terms: 20 + 16x = 40 + 12x Solving 20 + 16x = 40 + 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. 20 + 16x + -12x = 40 + 12x + -12x Combine like terms: 16x + -12x = 4x 20 + 4x = 40 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + 4x = 40 + 0 20 + 4x = 40 Add '-20' to each side of the equation. 20 + -20 + 4x = 40 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 40 + -20 4x = 40 + -20 Combine like terms: 40 + -20 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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