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Simplifying 6x + -1(x + -2) = 3x + 19 Reorder the terms: 6x + -1(-2 + x) = 3x + 19 6x + (-2 * -1 + x * -1) = 3x + 19 6x + (2 + -1x) = 3x + 19 Reorder the terms: 2 + 6x + -1x = 3x + 19 Combine like terms: 6x + -1x = 5x 2 + 5x = 3x + 19 Reorder the terms: 2 + 5x = 19 + 3x Solving 2 + 5x = 19 + 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. 2 + 5x + -3x = 19 + 3x + -3x Combine like terms: 5x + -3x = 2x 2 + 2x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 2x = 19 + 0 2 + 2x = 19 Add '-2' to each side of the equation. 2 + -2 + 2x = 19 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 19 + -2 2x = 19 + -2 Combine like terms: 19 + -2 = 17 2x = 17 Divide each side by '2'. x = 8.5 Simplifying x = 8.5
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