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Simplifying 5(x + -10) + 3x = 46 Reorder the terms: 5(-10 + x) + 3x = 46 (-10 * 5 + x * 5) + 3x = 46 (-50 + 5x) + 3x = 46 Combine like terms: 5x + 3x = 8x -50 + 8x = 46 Solving -50 + 8x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 8x = 46 + 50 Combine like terms: -50 + 50 = 0 0 + 8x = 46 + 50 8x = 46 + 50 Combine like terms: 46 + 50 = 96 8x = 96 Divide each side by '8'. x = 12 Simplifying x = 12
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