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Simplifying -1(x + 4) + (3x + 1) = -2(x + 1) Reorder the terms: -1(4 + x) + (3x + 1) = -2(x + 1) (4 * -1 + x * -1) + (3x + 1) = -2(x + 1) (-4 + -1x) + (3x + 1) = -2(x + 1) Reorder the terms: -4 + -1x + (1 + 3x) = -2(x + 1) Remove parenthesis around (1 + 3x) -4 + -1x + 1 + 3x = -2(x + 1) Reorder the terms: -4 + 1 + -1x + 3x = -2(x + 1) Combine like terms: -4 + 1 = -3 -3 + -1x + 3x = -2(x + 1) Combine like terms: -1x + 3x = 2x -3 + 2x = -2(x + 1) Reorder the terms: -3 + 2x = -2(1 + x) -3 + 2x = (1 * -2 + x * -2) -3 + 2x = (-2 + -2x) Solving -3 + 2x = -2 + -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. -3 + 2x + 2x = -2 + -2x + 2x Combine like terms: 2x + 2x = 4x -3 + 4x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 4x = -2 + 0 -3 + 4x = -2 Add '3' to each side of the equation. -3 + 3 + 4x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = -2 + 3 4x = -2 + 3 Combine like terms: -2 + 3 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25
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