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Simplifying 3(-1x + -5) + -4 + -2(x + 6) + -4x + 5 + -3(-5 + -1x) = 0 Reorder the terms: 3(-5 + -1x) + -4 + -2(x + 6) + -4x + 5 + -3(-5 + -1x) = 0 (-5 * 3 + -1x * 3) + -4 + -2(x + 6) + -4x + 5 + -3(-5 + -1x) = 0 (-15 + -3x) + -4 + -2(x + 6) + -4x + 5 + -3(-5 + -1x) = 0 Reorder the terms: -15 + -3x + -4 + -2(6 + x) + -4x + 5 + -3(-5 + -1x) = 0 -15 + -3x + -4 + (6 * -2 + x * -2) + -4x + 5 + -3(-5 + -1x) = 0 -15 + -3x + -4 + (-12 + -2x) + -4x + 5 + -3(-5 + -1x) = 0 -15 + -3x + -4 + -12 + -2x + -4x + 5 + (-5 * -3 + -1x * -3) = 0 -15 + -3x + -4 + -12 + -2x + -4x + 5 + (15 + 3x) = 0 Reorder the terms: -15 + -4 + -12 + 5 + 15 + -3x + -2x + -4x + 3x = 0 Combine like terms: -15 + -4 = -19 -19 + -12 + 5 + 15 + -3x + -2x + -4x + 3x = 0 Combine like terms: -19 + -12 = -31 -31 + 5 + 15 + -3x + -2x + -4x + 3x = 0 Combine like terms: -31 + 5 = -26 -26 + 15 + -3x + -2x + -4x + 3x = 0 Combine like terms: -26 + 15 = -11 -11 + -3x + -2x + -4x + 3x = 0 Combine like terms: -3x + -2x = -5x -11 + -5x + -4x + 3x = 0 Combine like terms: -5x + -4x = -9x -11 + -9x + 3x = 0 Combine like terms: -9x + 3x = -6x -11 + -6x = 0 Solving -11 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -6x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -6x = 0 + 11 -6x = 0 + 11 Combine like terms: 0 + 11 = 11 -6x = 11 Divide each side by '-6'. x = -1.833333333 Simplifying x = -1.833333333
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