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Simplifying 5(2x + -6) + -5 = 5(x + -5) + 35 Reorder the terms: 5(-6 + 2x) + -5 = 5(x + -5) + 35 (-6 * 5 + 2x * 5) + -5 = 5(x + -5) + 35 (-30 + 10x) + -5 = 5(x + -5) + 35 Reorder the terms: -30 + -5 + 10x = 5(x + -5) + 35 Combine like terms: -30 + -5 = -35 -35 + 10x = 5(x + -5) + 35 Reorder the terms: -35 + 10x = 5(-5 + x) + 35 -35 + 10x = (-5 * 5 + x * 5) + 35 -35 + 10x = (-25 + 5x) + 35 Reorder the terms: -35 + 10x = -25 + 35 + 5x Combine like terms: -25 + 35 = 10 -35 + 10x = 10 + 5x Solving -35 + 10x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -35 + 10x + -5x = 10 + 5x + -5x Combine like terms: 10x + -5x = 5x -35 + 5x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -35 + 5x = 10 + 0 -35 + 5x = 10 Add '35' to each side of the equation. -35 + 35 + 5x = 10 + 35 Combine like terms: -35 + 35 = 0 0 + 5x = 10 + 35 5x = 10 + 35 Combine like terms: 10 + 35 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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