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Simplifying 2 + -1(3x + 1) = 3(2x + 3) + -5x Reorder the terms: 2 + -1(1 + 3x) = 3(2x + 3) + -5x 2 + (1 * -1 + 3x * -1) = 3(2x + 3) + -5x 2 + (-1 + -3x) = 3(2x + 3) + -5x Combine like terms: 2 + -1 = 1 1 + -3x = 3(2x + 3) + -5x Reorder the terms: 1 + -3x = 3(3 + 2x) + -5x 1 + -3x = (3 * 3 + 2x * 3) + -5x 1 + -3x = (9 + 6x) + -5x Combine like terms: 6x + -5x = 1x 1 + -3x = 9 + 1x Solving 1 + -3x = 9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + -3x + -1x = 9 + 1x + -1x Combine like terms: -3x + -1x = -4x 1 + -4x = 9 + 1x + -1x Combine like terms: 1x + -1x = 0 1 + -4x = 9 + 0 1 + -4x = 9 Add '-1' to each side of the equation. 1 + -1 + -4x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 9 + -1 -4x = 9 + -1 Combine like terms: 9 + -1 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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