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Simplifying 6x + -1(2x + 9) = 9x + -19 Reorder the terms: 6x + -1(9 + 2x) = 9x + -19 6x + (9 * -1 + 2x * -1) = 9x + -19 6x + (-9 + -2x) = 9x + -19 Reorder the terms: -9 + 6x + -2x = 9x + -19 Combine like terms: 6x + -2x = 4x -9 + 4x = 9x + -19 Reorder the terms: -9 + 4x = -19 + 9x Solving -9 + 4x = -19 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -9 + 4x + -9x = -19 + 9x + -9x Combine like terms: 4x + -9x = -5x -9 + -5x = -19 + 9x + -9x Combine like terms: 9x + -9x = 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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