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Simplifying 2x + -1(3x + 1) = 6(2 + -1x) + 7 Reorder the terms: 2x + -1(1 + 3x) = 6(2 + -1x) + 7 2x + (1 * -1 + 3x * -1) = 6(2 + -1x) + 7 2x + (-1 + -3x) = 6(2 + -1x) + 7 Reorder the terms: -1 + 2x + -3x = 6(2 + -1x) + 7 Combine like terms: 2x + -3x = -1x -1 + -1x = 6(2 + -1x) + 7 -1 + -1x = (2 * 6 + -1x * 6) + 7 -1 + -1x = (12 + -6x) + 7 Reorder the terms: -1 + -1x = 12 + 7 + -6x Combine like terms: 12 + 7 = 19 -1 + -1x = 19 + -6x Solving -1 + -1x = 19 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -1 + -1x + 6x = 19 + -6x + 6x Combine like terms: -1x + 6x = 5x -1 + 5x = 19 + -6x + 6x Combine like terms: -6x + 6x = 0 -1 + 5x = 19 + 0 -1 + 5x = 19 Add '1' to each side of the equation. -1 + 1 + 5x = 19 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 19 + 1 5x = 19 + 1 Combine like terms: 19 + 1 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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