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Simplifying 2x + -1(6 + -3x) = 10x + 19 2x + (6 * -1 + -3x * -1) = 10x + 19 2x + (-6 + 3x) = 10x + 19 Reorder the terms: -6 + 2x + 3x = 10x + 19 Combine like terms: 2x + 3x = 5x -6 + 5x = 10x + 19 Reorder the terms: -6 + 5x = 19 + 10x Solving -6 + 5x = 19 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 5x + -10x = 19 + 10x + -10x Combine like terms: 5x + -10x = -5x -6 + -5x = 19 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -5x = 19 + 0 -6 + -5x = 19 Add '6' to each side of the equation. -6 + 6 + -5x = 19 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 19 + 6 -5x = 19 + 6 Combine like terms: 19 + 6 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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