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Simplifying 3x + -3 + 4x + -3 + -1(1 + -1x) = 1 3x + -3 + 4x + -3 + (1 * -1 + -1x * -1) = 1 3x + -3 + 4x + -3 + (-1 + 1x) = 1 Reorder the terms: -3 + -3 + -1 + 3x + 4x + 1x = 1 Combine like terms: -3 + -3 = -6 -6 + -1 + 3x + 4x + 1x = 1 Combine like terms: -6 + -1 = -7 -7 + 3x + 4x + 1x = 1 Combine like terms: 3x + 4x = 7x -7 + 7x + 1x = 1 Combine like terms: 7x + 1x = 8x -7 + 8x = 1 Solving -7 + 8x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 8x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 1 + 7 8x = 1 + 7 Combine like terms: 1 + 7 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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