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Simplifying 2x + 1 + -3x(x + -1) = 3x + 3x(1 + -1x) Reorder the terms: 2x + 1 + -3x(-1 + x) = 3x + 3x(1 + -1x) 2x + 1 + (-1 * -3x + x * -3x) = 3x + 3x(1 + -1x) 2x + 1 + (3x + -3x2) = 3x + 3x(1 + -1x) Reorder the terms: 1 + 2x + 3x + -3x2 = 3x + 3x(1 + -1x) Combine like terms: 2x + 3x = 5x 1 + 5x + -3x2 = 3x + 3x(1 + -1x) 1 + 5x + -3x2 = 3x + (1 * 3x + -1x * 3x) 1 + 5x + -3x2 = 3x + (3x + -3x2) Combine like terms: 3x + 3x = 6x 1 + 5x + -3x2 = 6x + -3x2 Add '3x2' to each side of the equation. 1 + 5x + -3x2 + 3x2 = 6x + -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 1 + 5x + 0 = 6x + -3x2 + 3x2 1 + 5x = 6x + -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 1 + 5x = 6x + 0 1 + 5x = 6x Solving 1 + 5x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 5x + -6x = 6x + -6x Combine like terms: 5x + -6x = -1x 1 + -1x = 6x + -6x Combine like terms: 6x + -6x = 0 1 + -1x = 0 Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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