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Simplifying 6x + -1(3x + 4) = 2x + -3x + -2 Reorder the terms: 6x + -1(4 + 3x) = 2x + -3x + -2 6x + (4 * -1 + 3x * -1) = 2x + -3x + -2 6x + (-4 + -3x) = 2x + -3x + -2 Reorder the terms: -4 + 6x + -3x = 2x + -3x + -2 Combine like terms: 6x + -3x = 3x -4 + 3x = 2x + -3x + -2 Reorder the terms: -4 + 3x = -2 + 2x + -3x Combine like terms: 2x + -3x = -1x -4 + 3x = -2 + -1x Solving -4 + 3x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4 + 3x + x = -2 + -1x + x Combine like terms: 3x + x = 4x -4 + 4x = -2 + -1x + x Combine like terms: -1x + x = 0 -4 + 4x = -2 + 0 -4 + 4x = -2 Add '4' to each side of the equation. -4 + 4 + 4x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = -2 + 4 4x = -2 + 4 Combine like terms: -2 + 4 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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