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Simplifying 5(x + -1) + -1(3x + 4) + -5(2x + 6) = 0 Reorder the terms: 5(-1 + x) + -1(3x + 4) + -5(2x + 6) = 0 (-1 * 5 + x * 5) + -1(3x + 4) + -5(2x + 6) = 0 (-5 + 5x) + -1(3x + 4) + -5(2x + 6) = 0 Reorder the terms: -5 + 5x + -1(4 + 3x) + -5(2x + 6) = 0 -5 + 5x + (4 * -1 + 3x * -1) + -5(2x + 6) = 0 -5 + 5x + (-4 + -3x) + -5(2x + 6) = 0 Reorder the terms: -5 + 5x + -4 + -3x + -5(6 + 2x) = 0 -5 + 5x + -4 + -3x + (6 * -5 + 2x * -5) = 0 -5 + 5x + -4 + -3x + (-30 + -10x) = 0 Reorder the terms: -5 + -4 + -30 + 5x + -3x + -10x = 0 Combine like terms: -5 + -4 = -9 -9 + -30 + 5x + -3x + -10x = 0 Combine like terms: -9 + -30 = -39 -39 + 5x + -3x + -10x = 0 Combine like terms: 5x + -3x = 2x -39 + 2x + -10x = 0 Combine like terms: 2x + -10x = -8x -39 + -8x = 0 Solving -39 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -8x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -8x = 0 + 39 -8x = 0 + 39 Combine like terms: 0 + 39 = 39 -8x = 39 Divide each side by '-8'. x = -4.875 Simplifying x = -4.875
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