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