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Simplifying 5x + -1(8x + 19) = 2 + -1(11x + -8) Reorder the terms: 5x + -1(19 + 8x) = 2 + -1(11x + -8) 5x + (19 * -1 + 8x * -1) = 2 + -1(11x + -8) 5x + (-19 + -8x) = 2 + -1(11x + -8) Reorder the terms: -19 + 5x + -8x = 2 + -1(11x + -8) Combine like terms: 5x + -8x = -3x -19 + -3x = 2 + -1(11x + -8) Reorder the terms: -19 + -3x = 2 + -1(-8 + 11x) -19 + -3x = 2 + (-8 * -1 + 11x * -1) -19 + -3x = 2 + (8 + -11x) Combine like terms: 2 + 8 = 10 -19 + -3x = 10 + -11x Solving -19 + -3x = 10 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -19 + -3x + 11x = 10 + -11x + 11x Combine like terms: -3x + 11x = 8x -19 + 8x = 10 + -11x + 11x Combine like terms: -11x + 11x = 0 -19 + 8x = 10 + 0 -19 + 8x = 10 Add '19' to each side of the equation. -19 + 19 + 8x = 10 + 19 Combine like terms: -19 + 19 = 0 0 + 8x = 10 + 19 8x = 10 + 19 Combine like terms: 10 + 19 = 29 8x = 29 Divide each side by '8'. x = 3.625 Simplifying x = 3.625
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