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Simplifying 19x + -5(x + 4) = 34x Reorder the terms: 19x + -5(4 + x) = 34x 19x + (4 * -5 + x * -5) = 34x 19x + (-20 + -5x) = 34x Reorder the terms: -20 + 19x + -5x = 34x Combine like terms: 19x + -5x = 14x -20 + 14x = 34x Solving -20 + 14x = 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. -20 + 14x + -34x = 34x + -34x Combine like terms: 14x + -34x = -20x -20 + -20x = 34x + -34x Combine like terms: 34x + -34x = 0 -20 + -20x = 0 Add '20' to each side of the equation. -20 + 20 + -20x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -20x = 0 + 20 -20x = 0 + 20 Combine like terms: 0 + 20 = 20 -20x = 20 Divide each side by '-20'. x = -1 Simplifying x = -1
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