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Simplifying 3x + -2(4x + 5) + -10 = 40 Reorder the terms: 3x + -2(5 + 4x) + -10 = 40 3x + (5 * -2 + 4x * -2) + -10 = 40 3x + (-10 + -8x) + -10 = 40 Reorder the terms: -10 + -10 + 3x + -8x = 40 Combine like terms: -10 + -10 = -20 -20 + 3x + -8x = 40 Combine like terms: 3x + -8x = -5x -20 + -5x = 40 Solving -20 + -5x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -5x = 40 + 20 Combine like terms: -20 + 20 = 0 0 + -5x = 40 + 20 -5x = 40 + 20 Combine like terms: 40 + 20 = 60 -5x = 60 Divide each side by '-5'. x = -12 Simplifying x = -12
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