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Simplifying 3(x + -5) = 7 + -5x + 5 + 8 + 5x + 10 Reorder the terms: 3(-5 + x) = 7 + -5x + 5 + 8 + 5x + 10 (-5 * 3 + x * 3) = 7 + -5x + 5 + 8 + 5x + 10 (-15 + 3x) = 7 + -5x + 5 + 8 + 5x + 10 Reorder the terms: -15 + 3x = 7 + 5 + 8 + 10 + -5x + 5x Combine like terms: 7 + 5 = 12 -15 + 3x = 12 + 8 + 10 + -5x + 5x Combine like terms: 12 + 8 = 20 -15 + 3x = 20 + 10 + -5x + 5x Combine like terms: 20 + 10 = 30 -15 + 3x = 30 + -5x + 5x Combine like terms: -5x + 5x = 0 -15 + 3x = 30 + 0 -15 + 3x = 30 Solving -15 + 3x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 3x = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 30 + 15 3x = 30 + 15 Combine like terms: 30 + 15 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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