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Simplifying 3(x + -10) + 2(x + 1) = 127 Reorder the terms: 3(-10 + x) + 2(x + 1) = 127 (-10 * 3 + x * 3) + 2(x + 1) = 127 (-30 + 3x) + 2(x + 1) = 127 Reorder the terms: -30 + 3x + 2(1 + x) = 127 -30 + 3x + (1 * 2 + x * 2) = 127 -30 + 3x + (2 + 2x) = 127 Reorder the terms: -30 + 2 + 3x + 2x = 127 Combine like terms: -30 + 2 = -28 -28 + 3x + 2x = 127 Combine like terms: 3x + 2x = 5x -28 + 5x = 127 Solving -28 + 5x = 127 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 5x = 127 + 28 Combine like terms: -28 + 28 = 0 0 + 5x = 127 + 28 5x = 127 + 28 Combine like terms: 127 + 28 = 155 5x = 155 Divide each side by '5'. x = 31 Simplifying x = 31
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