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Simplifying 5x + 2 + -1(3x + -1) = 5x + 4 Reorder the terms: 5x + 2 + -1(-1 + 3x) = 5x + 4 5x + 2 + (-1 * -1 + 3x * -1) = 5x + 4 5x + 2 + (1 + -3x) = 5x + 4 Reorder the terms: 2 + 1 + 5x + -3x = 5x + 4 Combine like terms: 2 + 1 = 3 3 + 5x + -3x = 5x + 4 Combine like terms: 5x + -3x = 2x 3 + 2x = 5x + 4 Reorder the terms: 3 + 2x = 4 + 5x Solving 3 + 2x = 4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 2x + -5x = 4 + 5x + -5x Combine like terms: 2x + -5x = -3x 3 + -3x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -3x = 4 + 0 3 + -3x = 4 Add '-3' to each side of the equation. 3 + -3 + -3x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 4 + -3 -3x = 4 + -3 Combine like terms: 4 + -3 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333
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