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Simplifying 3(1 + -1x) + -2(4 + x) = 5 (1 * 3 + -1x * 3) + -2(4 + x) = 5 (3 + -3x) + -2(4 + x) = 5 3 + -3x + (4 * -2 + x * -2) = 5 3 + -3x + (-8 + -2x) = 5 Reorder the terms: 3 + -8 + -3x + -2x = 5 Combine like terms: 3 + -8 = -5 -5 + -3x + -2x = 5 Combine like terms: -3x + -2x = -5x -5 + -5x = 5 Solving -5 + -5x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -5x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = 5 + 5 -5x = 5 + 5 Combine like terms: 5 + 5 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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