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