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Simplifying 5(3x + -7) + -3(x + 2) + -19x = 0 Reorder the terms: 5(-7 + 3x) + -3(x + 2) + -19x = 0 (-7 * 5 + 3x * 5) + -3(x + 2) + -19x = 0 (-35 + 15x) + -3(x + 2) + -19x = 0 Reorder the terms: -35 + 15x + -3(2 + x) + -19x = 0 -35 + 15x + (2 * -3 + x * -3) + -19x = 0 -35 + 15x + (-6 + -3x) + -19x = 0 Reorder the terms: -35 + -6 + 15x + -3x + -19x = 0 Combine like terms: -35 + -6 = -41 -41 + 15x + -3x + -19x = 0 Combine like terms: 15x + -3x = 12x -41 + 12x + -19x = 0 Combine like terms: 12x + -19x = -7x -41 + -7x = 0 Solving -41 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -7x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -7x = 0 + 41 -7x = 0 + 41 Combine like terms: 0 + 41 = 41 -7x = 41 Divide each side by '-7'. x = -5.857142857 Simplifying x = -5.857142857
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