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Simplifying -4(1 + -1x) + 3(x + 1) = 6 (1 * -4 + -1x * -4) + 3(x + 1) = 6 (-4 + 4x) + 3(x + 1) = 6 Reorder the terms: -4 + 4x + 3(1 + x) = 6 -4 + 4x + (1 * 3 + x * 3) = 6 -4 + 4x + (3 + 3x) = 6 Reorder the terms: -4 + 3 + 4x + 3x = 6 Combine like terms: -4 + 3 = -1 -1 + 4x + 3x = 6 Combine like terms: 4x + 3x = 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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