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Simplifying 6x + -1(2x + 1) = 3x + 19 Reorder the terms: 6x + -1(1 + 2x) = 3x + 19 6x + (1 * -1 + 2x * -1) = 3x + 19 6x + (-1 + -2x) = 3x + 19 Reorder the terms: -1 + 6x + -2x = 3x + 19 Combine like terms: 6x + -2x = 4x -1 + 4x = 3x + 19 Reorder the terms: -1 + 4x = 19 + 3x Solving -1 + 4x = 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. -1 + 4x + -3x = 19 + 3x + -3x Combine like terms: 4x + -3x = 1x -1 + 1x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + 1x = 19 + 0 -1 + 1x = 19 Add '1' to each side of the equation. -1 + 1 + 1x = 19 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 19 + 1 1x = 19 + 1 Combine like terms: 19 + 1 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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