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Simplifying 6(5x + -1) + 4(13 + -5x) + -3(3x + 1) = -1 Reorder the terms: 6(-1 + 5x) + 4(13 + -5x) + -3(3x + 1) = -1 (-1 * 6 + 5x * 6) + 4(13 + -5x) + -3(3x + 1) = -1 (-6 + 30x) + 4(13 + -5x) + -3(3x + 1) = -1 -6 + 30x + (13 * 4 + -5x * 4) + -3(3x + 1) = -1 -6 + 30x + (52 + -20x) + -3(3x + 1) = -1 Reorder the terms: -6 + 30x + 52 + -20x + -3(1 + 3x) = -1 -6 + 30x + 52 + -20x + (1 * -3 + 3x * -3) = -1 -6 + 30x + 52 + -20x + (-3 + -9x) = -1 Reorder the terms: -6 + 52 + -3 + 30x + -20x + -9x = -1 Combine like terms: -6 + 52 = 46 46 + -3 + 30x + -20x + -9x = -1 Combine like terms: 46 + -3 = 43 43 + 30x + -20x + -9x = -1 Combine like terms: 30x + -20x = 10x 43 + 10x + -9x = -1 Combine like terms: 10x + -9x = 1x 43 + 1x = -1 Solving 43 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 1x = -1 + -43 Combine like terms: 43 + -43 = 0 0 + 1x = -1 + -43 1x = -1 + -43 Combine like terms: -1 + -43 = -44 1x = -44 Divide each side by '1'. x = -44 Simplifying x = -44
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