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