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Simplifying 1x + -3(1 + -1x) = 47 + -1x 1x + (1 * -3 + -1x * -3) = 47 + -1x 1x + (-3 + 3x) = 47 + -1x Reorder the terms: -3 + 1x + 3x = 47 + -1x Combine like terms: 1x + 3x = 4x -3 + 4x = 47 + -1x Solving -3 + 4x = 47 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3 + 4x + x = 47 + -1x + x Combine like terms: 4x + x = 5x -3 + 5x = 47 + -1x + x Combine like terms: -1x + x = 0 -3 + 5x = 47 + 0 -3 + 5x = 47 Add '3' to each side of the equation. -3 + 3 + 5x = 47 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 47 + 3 5x = 47 + 3 Combine like terms: 47 + 3 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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