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Simplifying 5(x + -2) + 3(x + 1) = 25 Reorder the terms: 5(-2 + x) + 3(x + 1) = 25 (-2 * 5 + x * 5) + 3(x + 1) = 25 (-10 + 5x) + 3(x + 1) = 25 Reorder the terms: -10 + 5x + 3(1 + x) = 25 -10 + 5x + (1 * 3 + x * 3) = 25 -10 + 5x + (3 + 3x) = 25 Reorder the terms: -10 + 3 + 5x + 3x = 25 Combine like terms: -10 + 3 = -7 -7 + 5x + 3x = 25 Combine like terms: 5x + 3x = 8x -7 + 8x = 25 Solving -7 + 8x = 25 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 = 25 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 25 + 7 8x = 25 + 7 Combine like terms: 25 + 7 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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