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Simplifying 17x + -19(x + 4) = 3x + -26 Reorder the terms: 17x + -19(4 + x) = 3x + -26 17x + (4 * -19 + x * -19) = 3x + -26 17x + (-76 + -19x) = 3x + -26 Reorder the terms: -76 + 17x + -19x = 3x + -26 Combine like terms: 17x + -19x = -2x -76 + -2x = 3x + -26 Reorder the terms: -76 + -2x = -26 + 3x Solving -76 + -2x = -26 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -76 + -2x + -3x = -26 + 3x + -3x Combine like terms: -2x + -3x = -5x -76 + -5x = -26 + 3x + -3x Combine like terms: 3x + -3x = 0 -76 + -5x = -26 + 0 -76 + -5x = -26 Add '76' to each side of the equation. -76 + 76 + -5x = -26 + 76 Combine like terms: -76 + 76 = 0 0 + -5x = -26 + 76 -5x = -26 + 76 Combine like terms: -26 + 76 = 50 -5x = 50 Divide each side by '-5'. x = -10 Simplifying x = -10
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