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Simplifying 5(2x + -1) = 3x + 58 Reorder the terms: 5(-1 + 2x) = 3x + 58 (-1 * 5 + 2x * 5) = 3x + 58 (-5 + 10x) = 3x + 58 Reorder the terms: -5 + 10x = 58 + 3x Solving -5 + 10x = 58 + 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. -5 + 10x + -3x = 58 + 3x + -3x Combine like terms: 10x + -3x = 7x -5 + 7x = 58 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 7x = 58 + 0 -5 + 7x = 58 Add '5' to each side of the equation. -5 + 5 + 7x = 58 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 58 + 5 7x = 58 + 5 Combine like terms: 58 + 5 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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