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