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Simplifying 10(4 + 4x) = 12x + 12 (4 * 10 + 4x * 10) = 12x + 12 (40 + 40x) = 12x + 12 Reorder the terms: 40 + 40x = 12 + 12x Solving 40 + 40x = 12 + 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 + 40x + -12x = 12 + 12x + -12x Combine like terms: 40x + -12x = 28x 40 + 28x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 40 + 28x = 12 + 0 40 + 28x = 12 Add '-40' to each side of the equation. 40 + -40 + 28x = 12 + -40 Combine like terms: 40 + -40 = 0 0 + 28x = 12 + -40 28x = 12 + -40 Combine like terms: 12 + -40 = -28 28x = -28 Divide each side by '28'. x = -1 Simplifying x = -1
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