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Simplifying 3x + -1(4x + 2) = -3x + 8 Reorder the terms: 3x + -1(2 + 4x) = -3x + 8 3x + (2 * -1 + 4x * -1) = -3x + 8 3x + (-2 + -4x) = -3x + 8 Reorder the terms: -2 + 3x + -4x = -3x + 8 Combine like terms: 3x + -4x = -1x -2 + -1x = -3x + 8 Reorder the terms: -2 + -1x = 8 + -3x Solving -2 + -1x = 8 + -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. -2 + -1x + 3x = 8 + -3x + 3x Combine like terms: -1x + 3x = 2x -2 + 2x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 2x = 8 + 0 -2 + 2x = 8 Add '2' to each side of the equation. -2 + 2 + 2x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 8 + 2 2x = 8 + 2 Combine like terms: 8 + 2 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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