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Simplifying 5(x + -3) + 4(x + 2) = 20 Reorder the terms: 5(-3 + x) + 4(x + 2) = 20 (-3 * 5 + x * 5) + 4(x + 2) = 20 (-15 + 5x) + 4(x + 2) = 20 Reorder the terms: -15 + 5x + 4(2 + x) = 20 -15 + 5x + (2 * 4 + x * 4) = 20 -15 + 5x + (8 + 4x) = 20 Reorder the terms: -15 + 8 + 5x + 4x = 20 Combine like terms: -15 + 8 = -7 -7 + 5x + 4x = 20 Combine like terms: 5x + 4x = 9x -7 + 9x = 20 Solving -7 + 9x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 9x = 20 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 20 + 7 9x = 20 + 7 Combine like terms: 20 + 7 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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