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Simplifying 5(6x + -1) + 5(10 + -4x) + -3(3x + 3) = -1 Reorder the terms: 5(-1 + 6x) + 5(10 + -4x) + -3(3x + 3) = -1 (-1 * 5 + 6x * 5) + 5(10 + -4x) + -3(3x + 3) = -1 (-5 + 30x) + 5(10 + -4x) + -3(3x + 3) = -1 -5 + 30x + (10 * 5 + -4x * 5) + -3(3x + 3) = -1 -5 + 30x + (50 + -20x) + -3(3x + 3) = -1 Reorder the terms: -5 + 30x + 50 + -20x + -3(3 + 3x) = -1 -5 + 30x + 50 + -20x + (3 * -3 + 3x * -3) = -1 -5 + 30x + 50 + -20x + (-9 + -9x) = -1 Reorder the terms: -5 + 50 + -9 + 30x + -20x + -9x = -1 Combine like terms: -5 + 50 = 45 45 + -9 + 30x + -20x + -9x = -1 Combine like terms: 45 + -9 = 36 36 + 30x + -20x + -9x = -1 Combine like terms: 30x + -20x = 10x 36 + 10x + -9x = -1 Combine like terms: 10x + -9x = 1x 36 + 1x = -1 Solving 36 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 1x = -1 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = -1 + -36 1x = -1 + -36 Combine like terms: -1 + -36 = -37 1x = -37 Divide each side by '1'. x = -37 Simplifying x = -37
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