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Simplifying 5(x + -3) + 2(x + 6) = 20 + -5x Reorder the terms: 5(-3 + x) + 2(x + 6) = 20 + -5x (-3 * 5 + x * 5) + 2(x + 6) = 20 + -5x (-15 + 5x) + 2(x + 6) = 20 + -5x Reorder the terms: -15 + 5x + 2(6 + x) = 20 + -5x -15 + 5x + (6 * 2 + x * 2) = 20 + -5x -15 + 5x + (12 + 2x) = 20 + -5x Reorder the terms: -15 + 12 + 5x + 2x = 20 + -5x Combine like terms: -15 + 12 = -3 -3 + 5x + 2x = 20 + -5x Combine like terms: 5x + 2x = 7x -3 + 7x = 20 + -5x Solving -3 + 7x = 20 + -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. -3 + 7x + 5x = 20 + -5x + 5x Combine like terms: 7x + 5x = 12x -3 + 12x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + 12x = 20 + 0 -3 + 12x = 20 Add '3' to each side of the equation. -3 + 3 + 12x = 20 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = 20 + 3 12x = 20 + 3 Combine like terms: 20 + 3 = 23 12x = 23 Divide each side by '12'. x = 1.916666667 Simplifying x = 1.916666667
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