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Simplifying 5(3x + -3) + -5 = 5(x + -2) + 40 Reorder the terms: 5(-3 + 3x) + -5 = 5(x + -2) + 40 (-3 * 5 + 3x * 5) + -5 = 5(x + -2) + 40 (-15 + 15x) + -5 = 5(x + -2) + 40 Reorder the terms: -15 + -5 + 15x = 5(x + -2) + 40 Combine like terms: -15 + -5 = -20 -20 + 15x = 5(x + -2) + 40 Reorder the terms: -20 + 15x = 5(-2 + x) + 40 -20 + 15x = (-2 * 5 + x * 5) + 40 -20 + 15x = (-10 + 5x) + 40 Reorder the terms: -20 + 15x = -10 + 40 + 5x Combine like terms: -10 + 40 = 30 -20 + 15x = 30 + 5x Solving -20 + 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. -20 + 15x + -5x = 30 + 5x + -5x Combine like terms: 15x + -5x = 10x -20 + 10x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 10x = 30 + 0 -20 + 10x = 30 Add '20' to each side of the equation. -20 + 20 + 10x = 30 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = 30 + 20 10x = 30 + 20 Combine like terms: 30 + 20 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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