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Simplifying 4(x + -1) = 3(x + 1) + 2 Reorder the terms: 4(-1 + x) = 3(x + 1) + 2 (-1 * 4 + x * 4) = 3(x + 1) + 2 (-4 + 4x) = 3(x + 1) + 2 Reorder the terms: -4 + 4x = 3(1 + x) + 2 -4 + 4x = (1 * 3 + x * 3) + 2 -4 + 4x = (3 + 3x) + 2 Reorder the terms: -4 + 4x = 3 + 2 + 3x Combine like terms: 3 + 2 = 5 -4 + 4x = 5 + 3x Solving -4 + 4x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 4x + -3x = 5 + 3x + -3x Combine like terms: 4x + -3x = 1x -4 + 1x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 1x = 5 + 0 -4 + 1x = 5 Add '4' to each side of the equation. -4 + 4 + 1x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 5 + 4 1x = 5 + 4 Combine like terms: 5 + 4 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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