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Simplifying 5(2x + -7) + -2(x + 4) + -19x = 0 Reorder the terms: 5(-7 + 2x) + -2(x + 4) + -19x = 0 (-7 * 5 + 2x * 5) + -2(x + 4) + -19x = 0 (-35 + 10x) + -2(x + 4) + -19x = 0 Reorder the terms: -35 + 10x + -2(4 + x) + -19x = 0 -35 + 10x + (4 * -2 + x * -2) + -19x = 0 -35 + 10x + (-8 + -2x) + -19x = 0 Reorder the terms: -35 + -8 + 10x + -2x + -19x = 0 Combine like terms: -35 + -8 = -43 -43 + 10x + -2x + -19x = 0 Combine like terms: 10x + -2x = 8x -43 + 8x + -19x = 0 Combine like terms: 8x + -19x = -11x -43 + -11x = 0 Solving -43 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -11x = 0 + 43 Combine like terms: -43 + 43 = 0 0 + -11x = 0 + 43 -11x = 0 + 43 Combine like terms: 0 + 43 = 43 -11x = 43 Divide each side by '-11'. x = -3.909090909 Simplifying x = -3.909090909
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