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Simplifying 5(x + -6) + 3x = 52 Reorder the terms: 5(-6 + x) + 3x = 52 (-6 * 5 + x * 5) + 3x = 52 (-30 + 5x) + 3x = 52 Combine like terms: 5x + 3x = 8x -30 + 8x = 52 Solving -30 + 8x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 8x = 52 + 30 Combine like terms: -30 + 30 = 0 0 + 8x = 52 + 30 8x = 52 + 30 Combine like terms: 52 + 30 = 82 8x = 82 Divide each side by '8'. x = 10.25 Simplifying x = 10.25
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