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Simplifying 5(-3 + x) + 8x = 3x + 5 (-3 * 5 + x * 5) + 8x = 3x + 5 (-15 + 5x) + 8x = 3x + 5 Combine like terms: 5x + 8x = 13x -15 + 13x = 3x + 5 Reorder the terms: -15 + 13x = 5 + 3x Solving -15 + 13x = 5 + 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. -15 + 13x + -3x = 5 + 3x + -3x Combine like terms: 13x + -3x = 10x -15 + 10x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 10x = 5 + 0 -15 + 10x = 5 Add '15' to each side of the equation. -15 + 15 + 10x = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 10x = 5 + 15 10x = 5 + 15 Combine like terms: 5 + 15 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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