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Simplifying 3(5x + -5) = 8x + 13 Reorder the terms: 3(-5 + 5x) = 8x + 13 (-5 * 3 + 5x * 3) = 8x + 13 (-15 + 15x) = 8x + 13 Reorder the terms: -15 + 15x = 13 + 8x Solving -15 + 15x = 13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + 15x + -8x = 13 + 8x + -8x Combine like terms: 15x + -8x = 7x -15 + 7x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + 7x = 13 + 0 -15 + 7x = 13 Add '15' to each side of the equation. -15 + 15 + 7x = 13 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 13 + 15 7x = 13 + 15 Combine like terms: 13 + 15 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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