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Simplifying 13(5x + -10) = 3x + 12 Reorder the terms: 13(-10 + 5x) = 3x + 12 (-10 * 13 + 5x * 13) = 3x + 12 (-130 + 65x) = 3x + 12 Reorder the terms: -130 + 65x = 12 + 3x Solving -130 + 65x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -130 + 65x + -3x = 12 + 3x + -3x Combine like terms: 65x + -3x = 62x -130 + 62x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -130 + 62x = 12 + 0 -130 + 62x = 12 Add '130' to each side of the equation. -130 + 130 + 62x = 12 + 130 Combine like terms: -130 + 130 = 0 0 + 62x = 12 + 130 62x = 12 + 130 Combine like terms: 12 + 130 = 142 62x = 142 Divide each side by '62'. x = 2.290322581 Simplifying x = 2.290322581
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