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Simplifying 3x + -1(4 + x) = 6 + -2x 3x + (4 * -1 + x * -1) = 6 + -2x 3x + (-4 + -1x) = 6 + -2x Reorder the terms: -4 + 3x + -1x = 6 + -2x Combine like terms: 3x + -1x = 2x -4 + 2x = 6 + -2x Solving -4 + 2x = 6 + -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 + 2x + 2x = 6 + -2x + 2x Combine like terms: 2x + 2x = 4x -4 + 4x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 4x = 6 + 0 -4 + 4x = 6 Add '4' to each side of the equation. -4 + 4 + 4x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 6 + 4 4x = 6 + 4 Combine like terms: 6 + 4 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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