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Simplifying 3 + -1(x + 6) + 4x + -1 = x + 2 Reorder the terms: 3 + -1(6 + x) + 4x + -1 = x + 2 3 + (6 * -1 + x * -1) + 4x + -1 = x + 2 3 + (-6 + -1x) + 4x + -1 = x + 2 Reorder the terms: 3 + -6 + -1 + -1x + 4x = x + 2 Combine like terms: 3 + -6 = -3 -3 + -1 + -1x + 4x = x + 2 Combine like terms: -3 + -1 = -4 -4 + -1x + 4x = x + 2 Combine like terms: -1x + 4x = 3x -4 + 3x = x + 2 Reorder the terms: -4 + 3x = 2 + x Solving -4 + 3x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 3x + -1x = 2 + x + -1x Combine like terms: 3x + -1x = 2x -4 + 2x = 2 + x + -1x Combine like terms: x + -1x = 0 -4 + 2x = 2 + 0 -4 + 2x = 2 Add '4' to each side of the equation. -4 + 4 + 2x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 2 + 4 2x = 2 + 4 Combine like terms: 2 + 4 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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