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Simplifying 5(6x + -1) + 4(11 + -5x) + -3(3x + 3) = -6 Reorder the terms: 5(-1 + 6x) + 4(11 + -5x) + -3(3x + 3) = -6 (-1 * 5 + 6x * 5) + 4(11 + -5x) + -3(3x + 3) = -6 (-5 + 30x) + 4(11 + -5x) + -3(3x + 3) = -6 -5 + 30x + (11 * 4 + -5x * 4) + -3(3x + 3) = -6 -5 + 30x + (44 + -20x) + -3(3x + 3) = -6 Reorder the terms: -5 + 30x + 44 + -20x + -3(3 + 3x) = -6 -5 + 30x + 44 + -20x + (3 * -3 + 3x * -3) = -6 -5 + 30x + 44 + -20x + (-9 + -9x) = -6 Reorder the terms: -5 + 44 + -9 + 30x + -20x + -9x = -6 Combine like terms: -5 + 44 = 39 39 + -9 + 30x + -20x + -9x = -6 Combine like terms: 39 + -9 = 30 30 + 30x + -20x + -9x = -6 Combine like terms: 30x + -20x = 10x 30 + 10x + -9x = -6 Combine like terms: 10x + -9x = 1x 30 + 1x = -6 Solving 30 + 1x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 1x = -6 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = -6 + -30 1x = -6 + -30 Combine like terms: -6 + -30 = -36 1x = -36 Divide each side by '1'. x = -36 Simplifying x = -36
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