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Simplifying 3(x + -1) + -2x = -2x + 3x + -1(4x + 2) Reorder the terms: 3(-1 + x) + -2x = -2x + 3x + -1(4x + 2) (-1 * 3 + x * 3) + -2x = -2x + 3x + -1(4x + 2) (-3 + 3x) + -2x = -2x + 3x + -1(4x + 2) Combine like terms: 3x + -2x = 1x -3 + 1x = -2x + 3x + -1(4x + 2) Reorder the terms: -3 + 1x = -2x + 3x + -1(2 + 4x) -3 + 1x = -2x + 3x + (2 * -1 + 4x * -1) -3 + 1x = -2x + 3x + (-2 + -4x) Reorder the terms: -3 + 1x = -2 + -2x + 3x + -4x Combine like terms: -2x + 3x = 1x -3 + 1x = -2 + 1x + -4x Combine like terms: 1x + -4x = -3x -3 + 1x = -2 + -3x Solving -3 + 1x = -2 + -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. -3 + 1x + 3x = -2 + -3x + 3x Combine like terms: 1x + 3x = 4x -3 + 4x = -2 + -3x + 3x Combine like terms: -3x + 3x = 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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