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Simplifying x + -3(1 + -1x) = 4 + -7 + -1x x + (1 * -3 + -1x * -3) = 4 + -7 + -1x x + (-3 + 3x) = 4 + -7 + -1x Reorder the terms: -3 + x + 3x = 4 + -7 + -1x Combine like terms: x + 3x = 4x -3 + 4x = 4 + -7 + -1x Combine like terms: 4 + -7 = -3 -3 + 4x = -3 + -1x Add '3' to each side of the equation. -3 + 3 + 4x = -3 + 3 + -1x Combine like terms: -3 + 3 = 0 0 + 4x = -3 + 3 + -1x 4x = -3 + 3 + -1x Combine like terms: -3 + 3 = 0 4x = 0 + -1x 4x = -1x Solving 4x = -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. 4x + x = -1x + x Combine like terms: 4x + x = 5x 5x = -1x + x Combine like terms: -1x + x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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