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Simplifying 5(x + -2) + 3(x + 2) = 36 Reorder the terms: 5(-2 + x) + 3(x + 2) = 36 (-2 * 5 + x * 5) + 3(x + 2) = 36 (-10 + 5x) + 3(x + 2) = 36 Reorder the terms: -10 + 5x + 3(2 + x) = 36 -10 + 5x + (2 * 3 + x * 3) = 36 -10 + 5x + (6 + 3x) = 36 Reorder the terms: -10 + 6 + 5x + 3x = 36 Combine like terms: -10 + 6 = -4 -4 + 5x + 3x = 36 Combine like terms: 5x + 3x = 8x -4 + 8x = 36 Solving -4 + 8x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 8x = 36 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 36 + 4 8x = 36 + 4 Combine like terms: 36 + 4 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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