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Simplifying 5(3x + -5) + -5 = 5(x + -3) + 45 Reorder the terms: 5(-5 + 3x) + -5 = 5(x + -3) + 45 (-5 * 5 + 3x * 5) + -5 = 5(x + -3) + 45 (-25 + 15x) + -5 = 5(x + -3) + 45 Reorder the terms: -25 + -5 + 15x = 5(x + -3) + 45 Combine like terms: -25 + -5 = -30 -30 + 15x = 5(x + -3) + 45 Reorder the terms: -30 + 15x = 5(-3 + x) + 45 -30 + 15x = (-3 * 5 + x * 5) + 45 -30 + 15x = (-15 + 5x) + 45 Reorder the terms: -30 + 15x = -15 + 45 + 5x Combine like terms: -15 + 45 = 30 -30 + 15x = 30 + 5x Solving -30 + 15x = 30 + 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. -30 + 15x + -5x = 30 + 5x + -5x Combine like terms: 15x + -5x = 10x -30 + 10x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + 10x = 30 + 0 -30 + 10x = 30 Add '30' to each side of the equation. -30 + 30 + 10x = 30 + 30 Combine like terms: -30 + 30 = 0 0 + 10x = 30 + 30 10x = 30 + 30 Combine like terms: 30 + 30 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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