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