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