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Simplifying 5(x + -2) + 3(x + 1) = 41 Reorder the terms: 5(-2 + x) + 3(x + 1) = 41 (-2 * 5 + x * 5) + 3(x + 1) = 41 (-10 + 5x) + 3(x + 1) = 41 Reorder the terms: -10 + 5x + 3(1 + x) = 41 -10 + 5x + (1 * 3 + x * 3) = 41 -10 + 5x + (3 + 3x) = 41 Reorder the terms: -10 + 3 + 5x + 3x = 41 Combine like terms: -10 + 3 = -7 -7 + 5x + 3x = 41 Combine like terms: 5x + 3x = 8x -7 + 8x = 41 Solving -7 + 8x = 41 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 + 8x = 41 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 41 + 7 8x = 41 + 7 Combine like terms: 41 + 7 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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