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Simplifying 5(2x + -8) + -3(x + 2) + -19x = 0 Reorder the terms: 5(-8 + 2x) + -3(x + 2) + -19x = 0 (-8 * 5 + 2x * 5) + -3(x + 2) + -19x = 0 (-40 + 10x) + -3(x + 2) + -19x = 0 Reorder the terms: -40 + 10x + -3(2 + x) + -19x = 0 -40 + 10x + (2 * -3 + x * -3) + -19x = 0 -40 + 10x + (-6 + -3x) + -19x = 0 Reorder the terms: -40 + -6 + 10x + -3x + -19x = 0 Combine like terms: -40 + -6 = -46 -46 + 10x + -3x + -19x = 0 Combine like terms: 10x + -3x = 7x -46 + 7x + -19x = 0 Combine like terms: 7x + -19x = -12x -46 + -12x = 0 Solving -46 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + -12x = 0 + 46 Combine like terms: -46 + 46 = 0 0 + -12x = 0 + 46 -12x = 0 + 46 Combine like terms: 0 + 46 = 46 -12x = 46 Divide each side by '-12'. x = -3.833333333 Simplifying x = -3.833333333
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