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Simplifying 5x + -1(2x + 9) = 8x + -19 Reorder the terms: 5x + -1(9 + 2x) = 8x + -19 5x + (9 * -1 + 2x * -1) = 8x + -19 5x + (-9 + -2x) = 8x + -19 Reorder the terms: -9 + 5x + -2x = 8x + -19 Combine like terms: 5x + -2x = 3x -9 + 3x = 8x + -19 Reorder the terms: -9 + 3x = -19 + 8x Solving -9 + 3x = -19 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -9 + 3x + -8x = -19 + 8x + -8x Combine like terms: 3x + -8x = -5x -9 + -5x = -19 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + -5x = -19 + 0 -9 + -5x = -19 Add '9' to each side of the equation. -9 + 9 + -5x = -19 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = -19 + 9 -5x = -19 + 9 Combine like terms: -19 + 9 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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