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Simplifying 5(4x + -5) + -3(x + 1) + -19x = 0 Reorder the terms: 5(-5 + 4x) + -3(x + 1) + -19x = 0 (-5 * 5 + 4x * 5) + -3(x + 1) + -19x = 0 (-25 + 20x) + -3(x + 1) + -19x = 0 Reorder the terms: -25 + 20x + -3(1 + x) + -19x = 0 -25 + 20x + (1 * -3 + x * -3) + -19x = 0 -25 + 20x + (-3 + -3x) + -19x = 0 Reorder the terms: -25 + -3 + 20x + -3x + -19x = 0 Combine like terms: -25 + -3 = -28 -28 + 20x + -3x + -19x = 0 Combine like terms: 20x + -3x = 17x -28 + 17x + -19x = 0 Combine like terms: 17x + -19x = -2x -28 + -2x = 0 Solving -28 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -2x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -2x = 0 + 28 -2x = 0 + 28 Combine like terms: 0 + 28 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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