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Simplifying 10(3x + 4) = 5x + -12 Reorder the terms: 10(4 + 3x) = 5x + -12 (4 * 10 + 3x * 10) = 5x + -12 (40 + 30x) = 5x + -12 Reorder the terms: 40 + 30x = -12 + 5x Solving 40 + 30x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 40 + 30x + -5x = -12 + 5x + -5x Combine like terms: 30x + -5x = 25x 40 + 25x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 40 + 25x = -12 + 0 40 + 25x = -12 Add '-40' to each side of the equation. 40 + -40 + 25x = -12 + -40 Combine like terms: 40 + -40 = 0 0 + 25x = -12 + -40 25x = -12 + -40 Combine like terms: -12 + -40 = -52 25x = -52 Divide each side by '25'. x = -2.08 Simplifying x = -2.08
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