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Simplifying 3(x + 1) + -4(1 + -1x) = 6 Reorder the terms: 3(1 + x) + -4(1 + -1x) = 6 (1 * 3 + x * 3) + -4(1 + -1x) = 6 (3 + 3x) + -4(1 + -1x) = 6 3 + 3x + (1 * -4 + -1x * -4) = 6 3 + 3x + (-4 + 4x) = 6 Reorder the terms: 3 + -4 + 3x + 4x = 6 Combine like terms: 3 + -4 = -1 -1 + 3x + 4x = 6 Combine like terms: 3x + 4x = 7x -1 + 7x = 6 Solving -1 + 7x = 6 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 + 7x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 6 + 1 7x = 6 + 1 Combine like terms: 6 + 1 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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