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Simplifying 5(4x + -5) + -4(x + 1) + -19x = 0 Reorder the terms: 5(-5 + 4x) + -4(x + 1) + -19x = 0 (-5 * 5 + 4x * 5) + -4(x + 1) + -19x = 0 (-25 + 20x) + -4(x + 1) + -19x = 0 Reorder the terms: -25 + 20x + -4(1 + x) + -19x = 0 -25 + 20x + (1 * -4 + x * -4) + -19x = 0 -25 + 20x + (-4 + -4x) + -19x = 0 Reorder the terms: -25 + -4 + 20x + -4x + -19x = 0 Combine like terms: -25 + -4 = -29 -29 + 20x + -4x + -19x = 0 Combine like terms: 20x + -4x = 16x -29 + 16x + -19x = 0 Combine like terms: 16x + -19x = -3x -29 + -3x = 0 Solving -29 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -3x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -3x = 0 + 29 -3x = 0 + 29 Combine like terms: 0 + 29 = 29 -3x = 29 Divide each side by '-3'. x = -9.666666667 Simplifying x = -9.666666667
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